1. Lucy ran $\frac{5}{7}$ of a kilometer each day for 7 days. To find the total distance, multiply: $\frac{5}{7} \times 7 = 5$ kilometers.
2. Micah swims $\frac{1}{10}$ kilometer in 4 minutes. To swim 2 kilometers, he needs to swim $\frac{1}{10}$ kilometer 20 times (since $2 \div \frac{1}{10} = 20$). Multiply the time per segment by the number of segments: $4 \times 20 = 80$ minutes.
3. There are 27 players. $\frac{1}{9}$ are left-handed: $\frac{1}{9} \times 27 = 3$ left-handed players. Of these 3, $\frac{2}{3}$ are over 6 feet tall: $\frac{2}{3} \times 3 = 2$ players.
4. Danny ordered 16 pizzas. $\frac{3}{4}$ have toppings: $\frac{3}{4} \times 16 = 12$ pizzas with toppings. The rest are plain: $16 - 12 = 4$ plain pizzas. Of the 12 topping pizzas, $\frac{1}{2}$ have olives: $\frac{1}{2} \times 12 = 6$ with olives. The rest of the topping pizzas have mushrooms: $12 - 6 = 6$ with only mushrooms.
5. There is $\frac{5}{6}$ of a cake left. Mariah ate $\frac{1}{5}$ of this leftover amount: $\frac{1}{5} \times \frac{5}{6} = \frac{5}{30} = \frac{1}{6}$ of the original cake.
6. Tina makes 36 cookies, each weighing $\frac{2}{3}$ pounds. Total weight is $36 \times \frac{2}{3} = 24$ pounds. She puts 4 cookies in each box, so she makes $36 \div 4 = 9$ boxes. Each box weighs $24 \div 9 = \frac{24}{9} = \frac{8}{3}$ pounds, or $2\frac{2}{3}$ pounds.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problem worksheet.
