Let’s solve each improper fraction step by step using the method shown in the example.
The steps are:
1. Divide the numerator by the denominator.
2. Write down the whole number part of the answer.
3. Write the remainder over the original denominator.
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Problem 1: 9/4
Step 1: Divide 9 ÷ 4 = 2 with a remainder of 1
( because 4 × 2 = 8, and 9 - 8 = 1 )
Step 2: Whole number is 2
Step 3: Remainder 1 over denominator 4 → 1/4
So, 9/4 =
2 1/4
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Problem 2: 14/5
Step 1: 14 ÷ 5 = 2 with remainder 4
(5 × 2 = 10, 14 - 10 = 4)
Step 2: Whole number is 2
Step 3: Remainder 4 over 5 → 4/5
So, 14/5 =
2 4/5
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Problem 3: 43/10
Step 1: 43 ÷ 10 = 4 with remainder 3
(10 × 4 = 40, 43 - 40 = 3)
Step 2: Whole number is 4
Step 3: Remainder 3 over 10 → 3/10
So, 43/10 =
4 3/10
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Problem 4: 8/3
Step 1: 8 ÷ 3 = 2 with remainder 2
(3 × 2 = 6, 8 - 6 = 2)
Step 2: Whole number is 2
Step 3: Remainder 2 over 3 → 2/3
So, 8/3 =
2 2/3
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Problem 5: 65/9
Step 1: 65 ÷ 9 = 7 with remainder 2
(9 × 7 = 63, 65 - 63 = 2)
Step 2: Whole number is 7
Step 3: Remainder 2 over 9 → 2/9
So, 65/9 =
7 2/9
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Problem 6: 50/7
Step 1: 50 ÷ 7 = 7 with remainder 1
(7 × 7 = 49, 50 - 49 = 1)
Step 2: Whole number is 7
Step 3: Remainder 1 over 7 → 1/7
So, 50/7 =
7 1/7
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Final Answer:
1. 2 1/4
2. 2 4/5
3. 4 3/10
4. 2 2/3
5. 7 2/9
6. 7 1/7
Parent Tip: Review the logic above to help your child master the concept of common core fractions grade 4 worksheet.