Let’s solve each problem step by step.
We are converting
improper fractions (where the top number is bigger than the bottom) into
mixed numbers (a whole number + a fraction).
To do this:
1. Divide the top number (numerator) by the bottom number (denominator).
2. The
whole number part is how many times the denominator fits completely into the numerator.
3. The
remainder becomes the new numerator of the fraction part.
4. The denominator stays the same.
---
a) 18/8
18 ÷ 8 = 2 with remainder 2 → because 8 × 2 = 16, and 18 - 16 = 2
So:
2 and 2/8
But we can simplify 2/8 to 1/4 — but the worksheet keeps the denominator as 8, so we leave it as
2 2/8
Wait — looking at the format in the image, they want the answer in the form: [whole] [fraction over original denominator]. So even if it simplifies, we keep the denominator as given unless told otherwise. But actually, let’s check: for example, 18/8 = 2 2/8, which reduces to 2 1/4 — but since the box shows “__ / 8”, we must write 2 and 2/8.
Actually, let me double-check all problems — maybe they expect simplified fractions? Looking at the structure, the denominator is fixed in the answer box (like “__/8”), so we should keep the denominator unchanged and just put the remainder on top.
So yes — we’ll compute quotient and remainder, and write mixed number with same denominator.
---
a) 18 ÷ 8 = 2 R2 → 2 2/8
b) 28 ÷ 6 = 4 R4 → because 6×4=24, 28-24=4 → 4 4/6
c) 14 ÷ 3 = 4 R2 → 3×4=12, 14-12=2 → 4 2/3
d) 9 ÷ 2 = 4 R1 → 2×4=8, 9-8=1 → 4 1/2
e) 31 ÷ 4 = 7 R3 → 4×7=28, 31-28=3 → 7 3/4
f) 22 ÷ 5 = 4 R2 → 5×4=20, 22-20=2 → 4 2/5
g) 50 ÷ 9 = 5 R5 → 9×5=45, 50-45=5 → 5 5/9
h) 52 ÷ 10 = 5 R2 → 10×5=50, 52-50=2 → 5 2/10
Now, let’s verify each one quickly:
a) 2 + 2/8 = 16/8 + 2/8 = 18/8
✔
b) 4 + 4/6 = 24/6 + 4/6 = 28/6
✔
c) 4 + 2/3 = 12/3 + 2/3 = 14/3
✔
d) 4 + 1/2 = 8/2 + 1/2 = 9/2
✔
e) 7 + 3/4 = 28/4 + 3/4 = 31/4
✔
f) 4 + 2/5 = 20/5 + 2/5 = 22/5
✔
g) 5 + 5/9 = 45/9 + 5/9 = 50/9
✔
h) 5 + 2/10 = 50/10 + 2/10 = 52/10
✔
All correct!
Final Answer:
a) 2 2/8
b) 4 4/6
c) 4 2/3
d) 4 1/2
e) 7 3/4
f) 4 2/5
g) 5 5/9
h) 5 2/10
Parent Tip: Review the logic above to help your child master the concept of convert improper fraction to mixed number worksheet.
