QUESTION 6 OF 38
6. QUESTION
Solve 1 3/10+ 2 5/8
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
