Let’s solve this step by step.
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Given:
- Jade’s car starts with
8¾ gallons of gasoline.
- She uses
7/8 gallon to get to work
in the morning (one-way trip).
- A
round trip = going to work + coming home =
2 one-way trips.
- So,
gas used per round trip = 7/8 + 7/8 =
14/8 = 7/4 gallons.
We need to find:
How many full round trips can she make with the gas she has?
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Step 1: Convert total gas to improper fraction
8¾ = (8 × 4 + 3)/4 =
35/4 gallons
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Step 2: Gas used per round trip
As shown in the image:
7/8 + 7/8 = 14/8 =
7/4 gallons per round trip
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Step 3: Divide total gas by gas per round trip
We want to know how many times 7/4 fits into 35/4:
>
Number of round trips = (35/4) ÷ (7/4)
Dividing fractions: multiply by reciprocal:
> = (35/4) × (4/7)
> = (35 × 4) / (4 × 7)
> = 140 / 28
> =
5
✔ The 4s cancel out: (35/4) × (4/7) = 35/7 =
5
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Answer: Jade can make 5 full round trips.
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Visual Explanation (from the image):
The circles represent gallons, each divided into 8 parts (eighths).
- There are 8 full circles (each = 1 gallon) and 3/4 of a circle (which is 6/8), so total = 8 + 6/8 = 8¾ gallons — matches.
- Each one-way trip uses 7/8 → so round trip uses 14/8 = 7/4 = 1 and 3/4 gallons.
- You can see visually that 5 round trips would use 5 × 7/4 = 35/4 = 8¾ gallons — exactly what she has!
So,
she can make exactly 5 round trips — no gas left over.
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✔ Final Answer: 5 round trips
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions word problems worksheet.
