Let's solve both examples step by step.
---
Example 1:
$$
\frac{2}{7} \times 3 = ?
$$
Step 1: Write the whole number (3) as a fraction:
$$
3 = \frac{3}{1}
$$
Step 2: Multiply the fractions:
$$
\frac{2}{7} \times \frac{3}{1} = \frac{2 \times 3}{7 \times 1} = \frac{6}{7}
$$
✔ Answer:
$$
\frac{2}{7} \times 3 = \frac{6}{7}
$$
---
Example 2:
$$
5 \times \frac{9}{10} = ?
$$
Step 1: Write the whole number (5) as a fraction:
$$
5 = \frac{5}{1}
$$
Step 2: Multiply the fractions:
$$
\frac{5}{1} \times \frac{9}{10} = \frac{5 \times 9}{1 \times 10} = \frac{45}{10}
$$
Step 3: Simplify the fraction:
$$
\frac{45}{10} = \frac{9}{2} \quad \text{(divide numerator and denominator by 5)}
$$
Now, convert to a mixed number:
$$
\frac{9}{2} = 4 \frac{1}{2}
$$
✔ Answer:
$$
5 \times \frac{9}{10} = 4 \frac{1}{2}
$$
---
✔ Final Answers:
-
Example 1: $ \frac{6}{7} $
-
Example 2: $ 4 \frac{1}{2} $
---
🔍 Key Rule:
To multiply a fraction by a whole number:
1. Write the whole number as a fraction over 1.
2. Multiply the numerators together.
3. Multiply the denominators together.
4. Simplify if needed.
Let me know if you'd like visual models or more practice! 😊
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions examples.
