To solve the problem of multiplying a whole number and a fraction, we follow these steps:
1.
Multiply the whole number by the numerator of the fraction.
2.
Keep the denominator of the fraction unchanged.
3.
Simplify the resulting fraction if possible.
Let's solve each problem step by step.
---
Problem 1: \( 2 \times \frac{11}{12} \)
- Multiply the whole number \( 2 \) by the numerator \( 11 \):
\[
2 \times 11 = 22
\]
- Keep the denominator \( 12 \):
\[
\frac{22}{12}
\]
- Simplify the fraction:
\[
\frac{22}{12} = \frac{11}{6} \quad (\text{dividing numerator and denominator by } 2)
\]
Answer:
\[
\boxed{\frac{11}{6}}
\]
---
Problem 2: \( 6 \times \frac{5}{4} \)
- Multiply the whole number \( 6 \) by the numerator \( 5 \):
\[
6 \times 5 = 30
\]
- Keep the denominator \( 4 \):
\[
\frac{30}{4}
\]
- Simplify the fraction:
\[
\frac{30}{4} = \frac{15}{2} \quad (\text{dividing numerator and denominator by } 2)
\]
Answer:
\[
\boxed{\frac{15}{2}}
\]
---
Problem 3: \( 4 \times \frac{4}{6} \)
- Multiply the whole number \( 4 \) by the numerator \( 4 \):
\[
4 \times 4 = 16
\]
- Keep the denominator \( 6 \):
\[
\frac{16}{6}
\]
- Simplify the fraction:
\[
\frac{16}{6} = \frac{8}{3} \quad (\text{dividing numerator and denominator by } 2)
\]
Answer:
\[
\boxed{\frac{8}{3}}
\]
---
Problem 4: \( 3 \times \frac{7}{11} \)
- Multiply the whole number \( 3 \) by the numerator \( 7 \):
\[
3 \times 7 = 21
\]
- Keep the denominator \( 11 \):
\[
\frac{21}{11}
\]
- The fraction is already in simplest form.
Answer:
\[
\boxed{\frac{21}{11}}
\]
---
Problem 5: \( 10 \times \frac{9}{10} \)
- Multiply the whole number \( 10 \) by the numerator \( 9 \):
\[
10 \times 9 = 90
\]
- Keep the denominator \( 10 \):
\[
\frac{90}{10}
\]
- Simplify the fraction:
\[
\frac{90}{10} = 9
\]
Answer:
\[
\boxed{9}
\]
---
Problem 6: \( 5 \times \frac{12}{15} \)
- Multiply the whole number \( 5 \) by the numerator \( 12 \):
\[
5 \times 12 = 60
\]
- Keep the denominator \( 15 \):
\[
\frac{60}{15}
\]
- Simplify the fraction:
\[
\frac{60}{15} = 4
\]
Answer:
\[
\boxed{4}
\]
---
Problem 7: \( 4 \times \frac{3}{5} \)
- Multiply the whole number \( 4 \) by the numerator \( 3 \):
\[
4 \times 3 = 12
\]
- Keep the denominator \( 5 \):
\[
\frac{12}{5}
\]
- The fraction is already in simplest form.
Answer:
\[
\boxed{\frac{12}{5}}
\]
---
Problem 8: \( 5 \times \frac{5}{17} \)
- Multiply the whole number \( 5 \) by the numerator \( 5 \):
\[
5 \times 5 = 25
\]
- Keep the denominator \( 17 \):
\[
\frac{25}{17}
\]
- The fraction is already in simplest form.
Answer:
\[
\boxed{\frac{25}{17}}
\]
---
Final Answers:
1. \(\boxed{\frac{11}{6}}\)
2. \(\boxed{\frac{15}{2}}\)
3. \(\boxed{\frac{8}{3}}\)
4. \(\boxed{\frac{21}{11}}\)
5. \(\boxed{9}\)
6. \(\boxed{4}\)
7. \(\boxed{\frac{12}{5}}\)
8. \(\boxed{\frac{25}{17}}\)
Parent Tip: Review the logic above to help your child master the concept of multiplying whole numbers and fractions worksheet.
