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Fraction addition and subtraction word problems worksheet with real-life scenarios and common denominators.

Worksheet titled "Adding and subtracting fractions with the same denominators" featuring seven word problems involving fractions with common denominators, including time, height, ingredients, weight, length, and candy, with instructions to write answers in lowest terms.

Worksheet titled "Adding and subtracting fractions with the same denominators" featuring seven word problems involving fractions with common denominators, including time, height, ingredients, weight, length, and candy, with instructions to write answers in lowest terms.

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Show Answer Key & Explanations Step-by-step solution for: Add and subtract fractions word problems 1 worksheet
Let’s solve each problem one by one. We’re adding or subtracting fractions with the same denominator — that means we just add or subtract the top numbers (numerators) and keep the bottom number (denominator) the same. Then, if needed, we simplify the answer to lowest terms.

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Problem 1:
Oliver spent 1/6 hours on math + 1/6 hours on reading.
Add: 1/6 + 1/6 = 2/6
Simplify: 2 ÷ 2 = 1, 6 ÷ 2 = 3 → 1/3 hour

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Problem 2:
Sandcastle is 1/5 feet high + flag is 3/5 feet high.
Add: 1/5 + 3/5 = 4/5
Already in lowest terms → 4/5 feet

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Problem 3:
Flour before baking: 5/9 cups + after baking: 3/9 cups
Add: 5/9 + 3/9 = 8/9
Already in lowest terms → 8/9 cups

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Problem 4:
Bulldozer weighs 2/9 tons + dirt scooped up: 3/9 tons
Add: 2/9 + 3/9 = 5/9
Already in lowest terms → 5/9 tons

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Problem 5:
First road: 6/7 miles + second road: 1/7 miles
Add: 6/7 + 1/7 = 7/7 = 1
1 mile

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Problem 6:
Tiffany picked up 5 5/8 bags, friend picked up 4 1/8 bags.
We need to find how much *more* Tiffany picked up → subtract.

First, convert mixed numbers to improper fractions:

Tiffany: 5 5/8 = (5×8 + 5)/8 = 45/8
Friend: 4 1/8 = (4×8 + 1)/8 = 33/8

Subtract: 45/8 - 33/8 = 12/8
Simplify: 12 ÷ 4 = 3, 8 ÷ 4 = 2 → 3/2 = 1 1/2
1 1/2 bags more

*(Alternatively, you can subtract whole numbers and fractions separately:
5 - 4 = 1, and 5/8 - 1/8 = 4/8 = 1/2 → total 1 1/2)*

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Problem 7:
Lana had 7 4/8 pounds of candy, family ate 3 6/8 pounds.
Find how much is left → subtract.

Convert to improper fractions:

Start: 7 4/8 = (7×8 + 4)/8 = 60/8
Eaten: 3 6/8 = (3×8 + 6)/8 = 30/8

Subtract: 60/8 - 30/8 = 30/8
Simplify: 30 ÷ 2 = 15, 8 ÷ 2 = 4 → 15/4 = 3 3/4
*(Or divide 30 by 8: 8×3=24, remainder 6 → 3 6/8 = 3 3/4 after simplifying 6/8 to 3/4)*

Wait — let’s double-check using mixed numbers directly:

7 4/8 minus 3 6/8.

Since 4/8 is less than 6/8, we borrow 1 from the 7:

7 4/8 = 6 + 1 + 4/8 = 6 + 8/8 + 4/8 = 6 12/8

Now subtract:
6 12/8 - 3 6/8 = (6-3) and (12/8 - 6/8) = 3 6/8

Simplify 6/8 → divide numerator and denominator by 2 → 3/4

So final answer: 3 3/4 pounds

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Final Answer:
1) 1/3 hour
2) 4/5 feet
3) 8/9 cups
4) 5/9 tons
5) 1 mile
6) 1 1/2 bags
7) 3 3/4 pounds
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions with like denominators word problems worksheet.
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