Question

simplifying fractions - word problems

1. jakob has 6 green gumballs and 8 blue gumballs in a bag. what fraction of gumballs in the bag are green? simplify the fraction.

1. mandy has a 20 - kilometre drive to work. she drives 15 kilometres, then stops for gas. what fraction of her commute has she completed?

1. jorge ordered 8 chocolate cupcakes and 12 vanilla. what fraction of the total cupcakes are chocolate?

1. a pizza has 12 slices. tiana ate 4. what fraction of the total pizza did she eat?

1. valeria has 60 cards. she put ¼ of them in the mail. how many cards does she have left?

1. there are 27 books on a shelf. ⅔ of the books are hardcover. how many books are paperback?

1. mark saves 1/10 of every dollar he earns. if mark earned $1600 last month, how much did he save?

1. subtract the fractions below, following the steps above.

a) $dfrac{1}{2} - dfrac{1}{3}$
b) $dfrac{1}{2} - dfrac{1}{5}$

Explanation:

Problem 1:

Step1: Find total gumballs

Total gumballs = 6 (green) + 8 (blue) = 14.

Step2: Fraction of green gumballs

Fraction = $\frac{6}{14}$. Simplify by dividing numerator and denominator by 2: $\frac{6\div2}{14\div2}=\frac{3}{7}$.

Step1: Identify completed and total commute

Completed = 15 km, Total = 20 km.

Step2: Calculate fraction

Fraction = $\frac{15}{20}$. Simplify by dividing by 5: $\frac{15\div5}{20\div5}=\frac{3}{4}$.

Step1: Find total cupcakes

Total cupcakes = 8 (chocolate) + 12 (vanilla) = 20.

Step2: Fraction of chocolate cupcakes

Fraction = $\frac{8}{20}$. Simplify by dividing by 4: $\frac{8\div4}{20\div4}=\frac{2}{5}$.

Answer:

$\frac{3}{7}$

Problem 2: