Solve 1 3/10+ 2 5/8

 QUESTION 6 OF 38

6. QUESTION

Solve 1 3/10+ 2 5/8

•  3 4/9
•  4 3/40
•  3 37/40
•  3 3/16

Incorrect

3 37/40

---

Adding two mixed numbers we can add the whole parts and then the fractional parts.

1 3/10 + 2 5/8 = (1 + 2) + (3/10 + 5/8)

Step 1: Add the Whole parts Together

1 + 2 = 3

Step 2: Find the Least Common Multiple of the denominators
Since 10 and 8 are the denominators of the fractions, we will find the LCM of 10 and 8.

Factors of:
10: 10, 20, 30, 40, 50
8: 8, 16, 24, 32, 40

The least common multiple of 10 and 8 is 40.

Step 3: Create equivalent fractions using the LCM as the new denominator
Each fraction will now have a denominator of 40.

Let’s start with 3/10 . Since 10 × 4 = 40, we have to multiply the numerator by the same number.

     3/10 = (3×4)/(10×4)
= 12/40

Let’s create an equivalent fraction for 5/8 with 40 as the new denominator.

Since 8 × 5 = 40, we will multiply the numerator by the same number.

    5/8 = (5×5)/(8×5)
= 25/40

Step 4: Add the fractions together (simplify or convert to a mixed number if necessary)
Since our fractions now have the same denominator we can add them together.

12/40 + 25/40 = (12+25)/40
                = 37/40

Step 5: Add the whole parts and the fractional parts.

3 + 37/40 = 3 37/40

math practice

https://www.hackmath.net/en/calculator/fraction?input=1+2%2F5%2B2+3%2F10 

5. QUESTION

Max has 2.5 times the number of marbles that Jacob has. Jacob has 34 marbles. Steven has 0.2 times the number of marbles that Max has. How many marbles does Steven have?

 Step 1: Interpret the problem

First, we must understand what is happening in this situation. To find the number of marbles that Steven has, we need to multiply the number of marbles Max has by 0.2.

Step 2: Calculate the number of marbles that Max has

Since Max has 2.5 times the number of marbles Jacob has, we can multiply the number of marbles Jacob has by 2.5. Remember, with decimals, we pretend as if the decimals are not there. We do not line up numbers by their decimal point.

     34

✖ 2.5

Multiply Like Normal

Put the Decimal Place in the Right Location

Since there is 1 number to the right of the decimal point in the problem, there will be 1 number that is behind the decimal in the product. Therefore, the decimal point goes between 5 and 0.

85.0

Since the 0 is after the decimal point, it can also be dropped since it has no value.

So, Max has 85 marbles.

Step 3: Calculate the number of marbles that Steven has

To find the number of marbles Steven has, we can multiply the number of marbles Max has by 0.2. Remember, with decimals, we pretend as if the decimals are not there. We do not line up numbers by their decimal point.

     85

✖ 0.2

Multiply Like Normal

Put the Decimal Place in the Right Location

Since there is 1 number to the right of the decimal point in the problem, there will be 1 number that is behind the decimal in the product. Therefore, the decimal point goes between the 7 and the 0.

17.0

Since the 0 is after the decimal point, it can also be dropped since it has no value.

So, Steven has 17 marbles.

Solve 25.66 × 8.342 Please round to the nearest hundredth.

 4. QUESTION

Solve 25.66 × 8.342

Please round to the nearest hundredth.

•  (214.06)

Incorrect

214.06

---

Step 1: Set up your problem
Remember, with decimals, we pretend as if the decimals are not there. We do not line up numbers by their decimal point.

  25.660
× 8.342

Step 2: Multiply like normal

Step 3: Put the decimal place in the right location
Since there are a total of 5 numbers to the right of the two decimal points in the problem, there will be 5 numbers that are behind the decimal in the product. Therefore, the decimal point goes between the 4 and the 0.

214.05572

25.66 × 8.342 is equal to 214.05572

Step 4: Round to the nearest hundredth.

First, we determine which digit is in the hundredths place. This digit will be 2 places to the right of the decimal point.

214.05572

Then, we decide if we are going to round that number up or down by looking at the next digit to the right. In this case, the digit following the 5 in the hundredths place is also 5. Rounding rules tell us that if the digit to the right is 5 or above we round the highlighted 5 up to a 6 and drop the remaining digits to the right.

Therefore, 214.05572 rounded to the nearest hundredth is 214.06.

3. QUESTION A soccer team with 16 players gets a donation of $7,296 from a small local business to share equally. Each of the team members agrees to donate $137 to a local charity, pay $117 towards transportation for the team, and to spend $32 on dinner. How much money will each player have left? Please do not include the dollar sign in your answer.

 QUESTION 3 OF 38

3. QUESTION

A soccer team with 16 players gets a donation of $7,296 from a small local business to share equally. Each of the team members agrees to donate $137 to a local charity, pay $117 towards transportation for the team, and to spend $32 on dinner. How much money will each player have left?

Please do not include the dollar sign in your answer.

Correct

Step 1: Interpret the Situation

In this situation, we know there are 16 people on the team. We know the original donation amount is $7,296 and each player receives the same amount of the donation. We also know that each player will spend $137, $117, and $32.

We can find the amount each player receives by dividing the original donation ($7,296) by the number of players on the team (16). 

We can also find the total amount the athletes spend by adding together the 3 amounts (137 + 117 + 32). Then we can take away the total amount spent from each player’s original donation amount. This problem requires both division and subtraction. 

 

Step 2: Set Up The Problem

We will use the following setups:  

First:

amount each athlete receives = original donation amount number of athletes 

amount each athlete receives = 7,296 / 16

Second:

amount spent per athlete = charity amount + transportation amount + food amount

amount spent per athlete = 137 + 117 + 32

Third:

amount left per athlete = amount each athlete receives – amount spent by athletes

amount per athlete = (7,296 16) – (137 + 117 + 32)

 

Step 3: Solve 

To begin, each of the 16 players has to share equally in the donation. To find how much each player received, we have to divide the full amount of the donation by the number of players.

amount each athlete receives = original donation ÷ amount number of athletes 

7,296 ÷ 16 = 456

Each athlete will get $456.

Next, we need to find the amount of money each athlete spends on charity, transportation, and dinner.

amount spent per athlete = charity amount + transportation amount + food amount

amount spent per athlete = 137 + 117 + 32

Each player will spend $286.

Finally, we can find the amount that remains by subtracting the expenses of each player from the amount they received.

amount left per athlete = amount each athlete receives – amount spent by each athlete

456 – 286 = 170

Each player will end up with $170 left.

68.567 – 13 – 2.43 Would look like:

 Correct

Step 1: Line up the numbers by their decimal point.

68.567 – 13 – 2.43

Would look like:

        68.567
13
–   2.43    

Now all of our place values are lined up.

Step 2: Fill in any empty spots with a placeholder zero.

68.567
13.000
–02.430

Step 3: Subtract like normal.

 68.567
13.000
–02.430
   53.137

68.567 – 13 – 2.43 is equal to 53.137.

teas test math

 Correct

Step 1: Find/Simplify Anything Involving Parentheses

Remember that 72 really means (7 *7), which is 49.

3(72+ 5) ÷  6 – 3    

Is now …

3(49 + 5) ÷ 6 – 3 

 

Since there is still an expression in parentheses, we add the two numbers in parentheses. 

3(49 + 5) ÷ 6 – 3 

Which is now …

3(54) ÷ 6 – 3 

 

Step 2: Once Parentheses Are Complete, Move On

Since there are no more operations in parentheses and no more exponents, we now move on to multiplication and division – whichever comes first working from left to right. 

 

3(54) ÷ 6  – 3

Becomes: 

162 ÷ 6 – 3

We then perform the division.

162 ÷ 6 – 3

And get: 

27 – 3

 

Step 3: Continue Following Order of Operations

Since we only have one operation left, we can solve it.

 

27 – 3 = 24

Your Top Three Traits are:Investigative, Artistic, Social

 

Your Top Three Traits are:Investigative, Artistic, Social

Investigative

Investigative people are naturally curious and inquisitive. They have a need to understand, explain, and predict the things that go on around them. They are scholarly and scientific in their attempts to understand things and tend to be pessimistic and critical when non-scientific, simplistic, or supernatural explanations are suggested by others. They tend to become engrossed in whatever they are doing and may appear to be oblivious to everything else around them. They are independent and like to work alone. They prefer neither to supervise others nor to be supervised. They are theoretical and analytical in outlook and find abstract and ambiguous problems and situations challenging. They are original and creative and often find it difficult to accept traditional attitudes and values. They avoid highly structured situations with externally imposed rules, but are themselves internally well-disciplined, precise, and systematic in thought and action. They have confidence in their intellectual abilities, but often feel inadequate in social situations. They lack leadership and persuasive skills and tend to be reserved and formal in interpersonal relationships. They find it difficult to express themselves emotionally and are not considered to be friendly (CCL, The Center for Experiential Learning, Leadership and Technology)  

Artistic

Artistic people are very creative, original, and individualistic. They like to be different and strive to stand out from the crowd. They like to express their personalities by creating new and different things with words; with music; with materials, through painting, carving, sculpturing, engraving, crafting, etc.; and with physical expression, as in acting and dancing. They want attention and praise for their artistic endeavors, but are very sensitive to criticism. They tend to be uninhibited and nonconforming in dress, speech, and action. They prefer to work without supervision. They are impulsive and idealistic in outlook. They place great value on beauty and esthetic qualities and tend to be emotional in the expression of their feelings. They prefer abstract tasks and unstructured situations. They find it difficult to function effectively in highly ordered and systematic situations. They seek acceptance and approval from others, but often find the demands of close interpersonal relationships so stressful that they avoid them. They compensate for their resulting feelings of estrangement or alienation by relating to others primarily through the indirect medium of their art. (CCL, The Center for Experiential Learning, Leadership and Technology)  

Social

Social people are friendly and outgoing. They are cooperative and enjoy working with and being around other people. They are understanding and insightful concerning the feelings and problems of others. They like to be helpful to others by serving in facilitative roles such as those of teachers, mediators, advisers, counselors, etc. They have social skills, express themselves well, and are persuasive in interpersonal relationships. They like attention and enjoy being at or near the center of the group. They are idealistic, sensitive, and conscientious in their outlook on life and in their dealings with others. They like to deal with philosophical issues such as the nature and purpose of life, religion, morality, etc. They dislike working with machines, tools, and data and at highly organized, routine, and repetitive tasks. They see themselves as having social and educational skills, but as lacking in mechanical and scientific abilities. They get along well with others and find it natural to express their emotions. They are tactful in relating to others and are considered to be kind, supportive, and caring. (CCL, The Center for Experiential Learning, Leadership and Technology)  

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