Let’s solve each problem one by one.
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Problem 1:
Isabela got $1 \frac{2}{3}$ pounds of candy. Her sister got $2 \frac{4}{5}$ pounds. How much more did her sister get?
We need to subtract:
$2 \frac{4}{5} - 1 \frac{2}{3}$
First, convert to improper fractions:
$2 \frac{4}{5} = \frac{14}{5}$
$1 \frac{2}{3} = \frac{5}{3}$
Find common denominator — LCM of 5 and 3 is 15.
$\frac{14}{5} = \frac{42}{15}$
$\frac{5}{3} = \frac{25}{15}$
Subtract: $\frac{42}{15} - \frac{25}{15} = \frac{17}{15} = 1 \frac{2}{15}$
✔ Sister got $1 \frac{2}{15}$ pounds more.
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Problem 2:
$\frac{1}{2}$ of bats are male. $\frac{1}{3}$ of the male bats are purple. What fraction of ALL bats are male AND purple?
Multiply: $\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$
✔ $\frac{1}{6}$ of the bats are male and purple.
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Problem 3:
Carson has $\frac{5}{6}$ of a pie. She splits it into 3 equal pieces. How much does each friend get?
Divide: $\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} = \frac{5}{18}$
✔ Each friend gets $\frac{5}{18}$ of the pie.
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Problem 4:
Anna bought 7 yards. Used $5 \frac{4}{9}$ yards. How much left?
Subtract: $7 - 5 \frac{4}{9}$
Convert 7 to $6 \frac{9}{9}$, then subtract:
$6 \frac{9}{9} - 5 \frac{4}{9} = 1 \frac{5}{9}$
✔ She has $1 \frac{5}{9}$ yards left.
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Problem 5:
Headless Horseman rode:
- $4 \frac{1}{2}$ miles (cabin to woods)
- $9 \frac{1}{4}$ miles (woods to swamp)
- 10 miles (swamp to home)
Add them up:
Convert to improper or add step by step.
$4 \frac{1}{2} + 9 \frac{1}{4} = 13 \frac{3}{4}$
Then $13 \frac{3}{4} + 10 = 23 \frac{3}{4}$
✔ Total distance: $23 \frac{3}{4}$ miles.
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Problem 6:
Pugsley worked $4 \frac{1}{2}$ days. Paid $64 per day.
Multiply: $4 \frac{1}{2} \times 64 = \frac{9}{2} \times 64 = 9 \times 32 = 288$
✔ He earned $288.
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Problem 7:
50 kids entered. $\frac{4}{5}$ made it through in 20 minutes.
Find $\frac{4}{5}$ of 50: $\frac{4}{5} \times 50 = 40$
✔ 40 kids made it through.
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Problem 8:
Recipe needs $\frac{3}{4}$ cup milk. Thomas halves the recipe.
Halve $\frac{3}{4}$: $\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$
✔ He needs $\frac{3}{8}$ cup of milk.
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Problem 9:
Incomplete question — cuts off at “and $\frac{2}{...}$ are...”
Cannot solve without full info.
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Final Answers:
1. $1 \frac{2}{15}$ pounds
2. $\frac{1}{6}$
3. $\frac{5}{18}$
4. $1 \frac{5}{9}$ yards
5. $23 \frac{3}{4}$ miles
6. $288 dollars
7. 40 kids
8. $\frac{3}{8}$ cup
9. Cannot be solved — question incomplete
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Final Answer:
1. $1 \frac{2}{15}$
2. $\frac{1}{6}$
3. $\frac{5}{18}$
4. $1 \frac{5}{9}$
5. $23 \frac{3}{4}$
6. $288$
7. $40$
8. $\frac{3}{8}$
9. Incomplete
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet word problems.
