a. To find the total fraction of apples Eve gave away, add the two fractions: 5/9 + 1/6.
First, find a common denominator for 9 and 6, which is 18.
Convert 5/9 to 10/18 (multiply numerator and denominator by 2).
Convert 1/6 to 3/18 (multiply numerator and denominator by 3).
Add the fractions: 10/18 + 3/18 = 13/18.
Eve gave away 13/18 of the apples.
b. To find the total time Brightly spent on homework, add the three fractions: 3/4 + 6/9 + 5/12.
First, simplify 6/9 to 2/3.
Now, find a common denominator for 4, 3, and 12, which is 12.
Convert 3/4 to 9/12 (multiply numerator and denominator by 3).
Convert 2/3 to 8/12 (multiply numerator and denominator by 4).
Keep 5/12 as is.
Add the fractions: 9/12 + 8/12 + 5/12 = 22/12.
Simplify 22/12 to a mixed number: 22 ÷ 12 = 1 with a remainder of 10, so 1 10/12.
Simplify 10/12 to 5/6.
Brightly took 1 5/6 hours to complete her homework altogether.
c. To find how much farther Jasper drove than James, subtract James's distance from Jasper's distance: 7/8 - 1/2.
First, find a common denominator for 8 and 2, which is 8.
Convert 1/2 to 4/8 (multiply numerator and denominator by 4).
Subtract the fractions: 7/8 - 4/8 = 3/8.
Jasper drives 3/8 of a mile farther than James.
Parent Tip: Review the logic above to help your child master the concept of 5th grade adding and subtracting fractions worksheet.
