Fifth Grade Math Worksheets - Twisty Noodle - Free Printable
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Step-by-step solution for: Fifth Grade Math Worksheets - Twisty Noodle
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Show Answer Key & Explanations
Step-by-step solution for: Fifth Grade Math Worksheets - Twisty Noodle
Let’s solve each problem step by step.
We are adding fractions that have the same denominator (bottom number). When denominators are the same, we just add the numerators (top numbers) and keep the denominator the same. Then, if possible, we simplify the fraction to its smallest form.
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Problem 1:
$\frac{1}{6} + \frac{2}{6}$
Add numerators: $1 + 2 = 3$ → $\frac{3}{6}$
Simplify $\frac{3}{6}$: Both 3 and 6 can be divided by 3 → $\frac{1}{2}$ ✔ (already done in image)
---
Problem 2:
$\frac{2}{8} + \frac{4}{8}$
Add numerators: $2 + 4 = 6$ → $\frac{6}{8}$
Simplify $\frac{6}{8}$: Divide numerator and denominator by 2 → $\frac{3}{4}$
Wait — the image shows “= □ / 4” for the simplified version. So they want us to write it over 4? Let’s check:
$\frac{6}{8} = \frac{3}{4}$ → so yes, simplified is $\frac{3}{4}$
But in the image, the second box says “= □ / 4”, meaning they expect the answer as something over 4. So we put 3 in that box.
So:
First blank: $\frac{6}{8}$
Second blank: $\frac{3}{4}$ → but since it's written as “□ / 4”, we fill in 3
---
Problem 3:
$\frac{1}{10} + \frac{4}{10}$
Add numerators: $1 + 4 = 5$ → $\frac{5}{10}$
Simplify $\frac{5}{10}$: Divide by 5 → $\frac{1}{2}$
Image shows “= □ / 2” → so we need to write what goes over 2 → that’s 1
So:
First blank: $\frac{5}{10}$
Second blank: 1 (since $\frac{1}{2}$)
---
Problem 4:
$\frac{1}{4} + \frac{1}{4}$
Add numerators: $1 + 1 = 2$ → $\frac{2}{4}$
Simplify $\frac{2}{4}$: Divide by 2 → $\frac{1}{2}$
So:
First blank: $\frac{2}{4}$
Second blank: $\frac{1}{2}$ → or if they want it as “□ / □”, then 1 over 2 → fill both boxes: top=1, bottom=2
Looking at the image format: after “=”, there are two separate boxes — one for numerator, one for denominator.
So for this row:
First pair of boxes: 2 and 4
Second pair: 1 and 2
---
Problem 5:
$\frac{3}{9} + \frac{3}{9}$
Add numerators: $3 + 3 = 6$ → $\frac{6}{9}$
Simplify $\frac{6}{9}$: Divide by 3 → $\frac{2}{3}$
So:
First blank: $\frac{6}{9}$
Second blank: $\frac{2}{3}$ → so numerator=2, denominator=3
---
Problem 6:
$\frac{2}{6} + \frac{2}{6}$
Add numerators: $2 + 2 = 4$ → $\frac{4}{6}$
Simplify $\frac{4}{6}$: Divide by 2 → $\frac{2}{3}$
So:
First blank: $\frac{4}{6}$
Second blank: $\frac{2}{3}$ → numerator=2, denominator=3
---
Problem 7:
$\frac{1}{8} + \frac{3}{8}$
Add numerators: $1 + 3 = 4$ → $\frac{4}{8}$
Simplify $\frac{4}{8}$: Divide by 4 → $\frac{1}{2}$
So:
First blank: $\frac{4}{8}$
Second blank: $\frac{1}{2}$ → numerator=1, denominator=2
---
Now let’s list all answers clearly per row:
Row 1: Already filled → $\frac{3}{6} = \frac{1}{2}$
Row 2: $\frac{6}{8} = \frac{3}{4}$ → so first box: 6/8, second: 3/4 → but since second is shown as “□ / 4”, we put 3 in the top box, and 4 is already there? Wait — looking back at image:
Actually, in the image, for Row 2, it says:
“= [ ] / 8 = [ ] / 4”
So first blank is numerator over 8 → 6
Second blank is numerator over 4 → 3
Similarly, Row 3: “= [ ] / 10 = [ ] / 2” → first blank: 5, second: 1
Row 4: “= [ ] / [ ] = [ ] / [ ]” → so two full fractions to fill
Same for Rows 5–7.
So let’s write final answers per row:
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✔ Final Answers:
Row 1: (Already given)
→ $\frac{3}{6} = \frac{1}{2}$
Row 2:
→ First fraction: $\frac{6}{8}$ → so numerator = 6
→ Simplified: $\frac{3}{4}$ → so numerator = 3 (denominator 4 is already printed)
Row 3:
→ First fraction: $\frac{5}{10}$ → numerator = 5
→ Simplified: $\frac{1}{2}$ → numerator = 1 (denominator 2 is printed)
Row 4:
→ First fraction: $\frac{2}{4}$ → so top box = 2, bottom box = 4
→ Simplified: $\frac{1}{2}$ → top box = 1, bottom box = 2
Row 5:
→ First fraction: $\frac{6}{9}$ → top = 6, bottom = 9
→ Simplified: $\frac{2}{3}$ → top = 2, bottom = 3
Row 6:
→ First fraction: $\frac{4}{6}$ → top = 4, bottom = 6
→ Simplified: $\frac{2}{3}$ → top = 2, bottom = 3
Row 7:
→ First fraction: $\frac{4}{8}$ → top = 4, bottom = 8
→ Simplified: $\frac{1}{2}$ → top = 1, bottom = 2
---
Final Answer:
Row 2: 6, 3
Row 3: 5, 1
Row 4: 2, 4, 1, 2
Row 5: 6, 9, 2, 3
Row 6: 4, 6, 2, 3
Row 7: 4, 8, 1, 2
We are adding fractions that have the same denominator (bottom number). When denominators are the same, we just add the numerators (top numbers) and keep the denominator the same. Then, if possible, we simplify the fraction to its smallest form.
---
Problem 1:
$\frac{1}{6} + \frac{2}{6}$
Add numerators: $1 + 2 = 3$ → $\frac{3}{6}$
Simplify $\frac{3}{6}$: Both 3 and 6 can be divided by 3 → $\frac{1}{2}$ ✔ (already done in image)
---
Problem 2:
$\frac{2}{8} + \frac{4}{8}$
Add numerators: $2 + 4 = 6$ → $\frac{6}{8}$
Simplify $\frac{6}{8}$: Divide numerator and denominator by 2 → $\frac{3}{4}$
Wait — the image shows “= □ / 4” for the simplified version. So they want us to write it over 4? Let’s check:
$\frac{6}{8} = \frac{3}{4}$ → so yes, simplified is $\frac{3}{4}$
But in the image, the second box says “= □ / 4”, meaning they expect the answer as something over 4. So we put 3 in that box.
So:
First blank: $\frac{6}{8}$
Second blank: $\frac{3}{4}$ → but since it's written as “□ / 4”, we fill in 3
---
Problem 3:
$\frac{1}{10} + \frac{4}{10}$
Add numerators: $1 + 4 = 5$ → $\frac{5}{10}$
Simplify $\frac{5}{10}$: Divide by 5 → $\frac{1}{2}$
Image shows “= □ / 2” → so we need to write what goes over 2 → that’s 1
So:
First blank: $\frac{5}{10}$
Second blank: 1 (since $\frac{1}{2}$)
---
Problem 4:
$\frac{1}{4} + \frac{1}{4}$
Add numerators: $1 + 1 = 2$ → $\frac{2}{4}$
Simplify $\frac{2}{4}$: Divide by 2 → $\frac{1}{2}$
So:
First blank: $\frac{2}{4}$
Second blank: $\frac{1}{2}$ → or if they want it as “□ / □”, then 1 over 2 → fill both boxes: top=1, bottom=2
Looking at the image format: after “=”, there are two separate boxes — one for numerator, one for denominator.
So for this row:
First pair of boxes: 2 and 4
Second pair: 1 and 2
---
Problem 5:
$\frac{3}{9} + \frac{3}{9}$
Add numerators: $3 + 3 = 6$ → $\frac{6}{9}$
Simplify $\frac{6}{9}$: Divide by 3 → $\frac{2}{3}$
So:
First blank: $\frac{6}{9}$
Second blank: $\frac{2}{3}$ → so numerator=2, denominator=3
---
Problem 6:
$\frac{2}{6} + \frac{2}{6}$
Add numerators: $2 + 2 = 4$ → $\frac{4}{6}$
Simplify $\frac{4}{6}$: Divide by 2 → $\frac{2}{3}$
So:
First blank: $\frac{4}{6}$
Second blank: $\frac{2}{3}$ → numerator=2, denominator=3
---
Problem 7:
$\frac{1}{8} + \frac{3}{8}$
Add numerators: $1 + 3 = 4$ → $\frac{4}{8}$
Simplify $\frac{4}{8}$: Divide by 4 → $\frac{1}{2}$
So:
First blank: $\frac{4}{8}$
Second blank: $\frac{1}{2}$ → numerator=1, denominator=2
---
Now let’s list all answers clearly per row:
Row 1: Already filled → $\frac{3}{6} = \frac{1}{2}$
Row 2: $\frac{6}{8} = \frac{3}{4}$ → so first box: 6/8, second: 3/4 → but since second is shown as “□ / 4”, we put 3 in the top box, and 4 is already there? Wait — looking back at image:
Actually, in the image, for Row 2, it says:
“= [ ] / 8 = [ ] / 4”
So first blank is numerator over 8 → 6
Second blank is numerator over 4 → 3
Similarly, Row 3: “= [ ] / 10 = [ ] / 2” → first blank: 5, second: 1
Row 4: “= [ ] / [ ] = [ ] / [ ]” → so two full fractions to fill
Same for Rows 5–7.
So let’s write final answers per row:
---
✔ Final Answers:
Row 1: (Already given)
→ $\frac{3}{6} = \frac{1}{2}$
Row 2:
→ First fraction: $\frac{6}{8}$ → so numerator = 6
→ Simplified: $\frac{3}{4}$ → so numerator = 3 (denominator 4 is already printed)
Row 3:
→ First fraction: $\frac{5}{10}$ → numerator = 5
→ Simplified: $\frac{1}{2}$ → numerator = 1 (denominator 2 is printed)
Row 4:
→ First fraction: $\frac{2}{4}$ → so top box = 2, bottom box = 4
→ Simplified: $\frac{1}{2}$ → top box = 1, bottom box = 2
Row 5:
→ First fraction: $\frac{6}{9}$ → top = 6, bottom = 9
→ Simplified: $\frac{2}{3}$ → top = 2, bottom = 3
Row 6:
→ First fraction: $\frac{4}{6}$ → top = 4, bottom = 6
→ Simplified: $\frac{2}{3}$ → top = 2, bottom = 3
Row 7:
→ First fraction: $\frac{4}{8}$ → top = 4, bottom = 8
→ Simplified: $\frac{1}{2}$ → top = 1, bottom = 2
---
Final Answer:
Row 2: 6, 3
Row 3: 5, 1
Row 4: 2, 4, 1, 2
Row 5: 6, 9, 2, 3
Row 6: 4, 6, 2, 3
Row 7: 4, 8, 1, 2
Parent Tip: Review the logic above to help your child master the concept of math worksheet for 5th grade.