To solve these problems, we need to multiply each fraction by the whole number next to it. Here’s how you do it:
1.
Multiply the numerator (top number) of the fraction by the whole number.
2.
Keep the denominator (bottom number) the same.
3.
Simplify the fraction if possible.
Let's go through each problem step by step:
Problem 1
\[ \frac{1}{15} \times 4 \]
- Multiply the numerator: \(1 \times 4 = 4\)
- Keep the denominator: 15
- Result: \(\frac{4}{15}\)
Problem 2
\[ \frac{3}{13} \times 3 \]
- Multiply the numerator: \(3 \times 3 = 9\)
- Keep the denominator: 13
- Result: \(\frac{9}{13}\)
Problem 3
\[ \frac{4}{11} \times 2 \]
- Multiply the numerator: \(4 \times 2 = 8\)
- Keep the denominator: 11
- Result: \(\frac{8}{11}\)
Problem 4
\[ \frac{2}{23} \times 4 \]
- Multiply the numerator: \(2 \times 4 = 8\)
- Keep the denominator: 23
- Result: \(\frac{8}{23}\)
Problem 5
\[ \frac{4}{21} \times 2 \]
- Multiply the numerator: \(4 \times 2 = 8\)
- Keep the denominator: 21
- Result: \(\frac{8}{21}\)
Problem 6
\[ \frac{2}{8} \times 2 \]
- Multiply the numerator: \(2 \times 2 = 4\)
- Keep the denominator: 8
- Simplify: \(\frac{4}{8} = \frac{1}{2}\)
- Result: \(\frac{1}{2}\)
Problem 7
\[ \frac{5}{12} \times 1 \]
- Multiply the numerator: \(5 \times 1 = 5\)
- Keep the denominator: 12
- Result: \(\frac{5}{12}\)
Problem 8
\[ 3 \times \frac{2}{17} \]
- Multiply the numerator: \(3 \times 2 = 6\)
- Keep the denominator: 17
- Result: \(\frac{6}{17}\)
Problem 9
\[ 5 \times \frac{3}{19} \]
- Multiply the numerator: \(5 \times 3 = 15\)
- Keep the denominator: 19
- Result: \(\frac{15}{19}\)
Problem 10
\[ 6 \times \frac{2}{13} \]
- Multiply the numerator: \(6 \times 2 = 12\)
- Keep the denominator: 13
- Result: \(\frac{12}{13}\)
Final Answer:
1) \(\frac{4}{15}\)
2) \(\frac{9}{13}\)
3) \(\frac{8}{11}\)
4) \(\frac{8}{23}\)
5) \(\frac{8}{21}\)
6) \(\frac{1}{2}\)
7) \(\frac{5}{12}\)
8) \(\frac{6}{17}\)
9) \(\frac{15}{19}\)
10) \(\frac{12}{13}\)
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions and whole numbers worksheet.