Let’s solve each problem one by one.
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Problem 1:
Jughead eats $1 \frac{1}{2}$ burgers and Betty eats $\frac{6}{7}$ of a burger. How much more did Jughead eat?
Step 1: Convert mixed number to improper fraction.
$1 \frac{1}{2} = \frac{3}{2}$
Step 2: Subtract Betty’s amount from Jughead’s:
$\frac{3}{2} - \frac{6}{7}$
Step 3: Find common denominator. LCM of 2 and 7 is 14.
$\frac{3}{2} = \frac{21}{14}$
$\frac{6}{7} = \frac{12}{14}$
Step 4: Subtract:
$\frac{21}{14} - \frac{12}{14} = \frac{9}{14}$
✔ So, Jughead ate $\frac{9}{14}$ of a burger more than Betty.
Answer:
B
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Problem 2:
Snow fell twice: $\frac{3}{8}$ inch in morning, $\frac{1}{2}$ inch in afternoon. Total?
Step 1: Add the two fractions:
$\frac{3}{8} + \frac{1}{2}$
Step 2: Common denominator for 8 and 2 is 8.
$\frac{1}{2} = \frac{4}{8}$
Step 3: Add:
$\frac{3}{8} + \frac{4}{8} = \frac{7}{8}$
✔ Total snowfall: $\frac{7}{8}$ inch.
Answer:
C
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Problem 3:
Simon has:
- $\frac{1}{5}$ gallon cranberry
- $\frac{1}{3}$ gallon apple
- $\frac{7}{10}$ gallon grape
Total juice?
Step 1: Add all three:
$\frac{1}{5} + \frac{1}{3} + \frac{7}{10}$
Step 2: Find LCD of 5, 3, 10 → LCM is 30.
Convert:
- $\frac{1}{5} = \frac{6}{30}$
- $\frac{1}{3} = \frac{10}{30}$
- $\frac{7}{10} = \frac{21}{30}$
Step 3: Add numerators:
$6 + 10 + 21 = 37$ → $\frac{37}{30}$
Step 4: Convert to mixed number:
$\frac{37}{30} = 1 \frac{7}{30}$
✔ Simon has $1 \frac{7}{30}$ gallons total.
Answer:
A
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Problem 4:
Each streamer is $2 \frac{2}{5}$ meters long. He hangs 3 end to end. Total length?
Step 1: Convert mixed number to improper fraction:
$2 \frac{2}{5} = \frac{12}{5}$
Step 2: Multiply by 3:
$\frac{12}{5} \times 3 = \frac{36}{5}$
Step 3: Convert back to mixed number:
$\frac{36}{5} = 7 \frac{1}{5}$
✔ Total length: $7 \frac{1}{5}$ meters.
Answer:
B
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Final Answer:
1. B
2. C
3. A
4. B
Parent Tip: Review the logic above to help your child master the concept of fraction word problems worksheet 7th grade.
