Let's carefully go through the
problem and
solution step by step to understand whether it is correct.
---
🔢 Problem:
Multiply:
$$
\frac{1}{3} \times \frac{3}{5}
$$
---
✔ Step-by-Step Solution:
####
Step 1: Multiply the numerators and denominators
We multiply the numerators together and the denominators together:
$$
\frac{1 \times 3}{3 \times 5} = \frac{3}{15}
$$
✔ This step is
correct.
---
####
Step 2: Simplify the fraction
Now, simplify $ \frac{3}{15} $.
We can divide both numerator and denominator by their greatest common divisor (GCD), which is
3:
$$
\frac{3 \div 3}{15 \div 3} = \frac{1}{5}
$$
So,
$$
\frac{1}{3} \times \frac{3}{5} = \frac{1}{5}
$$
✔ This step is also
correct.
---
🟩 Final Answer:
$$
\boxed{\frac{1}{5}}
$$
---
💡 Explanation:
When multiplying fractions:
1. Multiply the
numerators.
2. Multiply the
denominators.
3. Simplify the resulting fraction if possible.
In this case:
- $ \frac{1}{3} \times \frac{3}{5} = \frac{3}{15} $
- $ \frac{3}{15} $ simplifies to $ \frac{1}{5} $
Also note: The
3 in the numerator and the
3 in the denominator can be
cancelled out *before* multiplying:
$$
\frac{1}{\cancel{3}} \times \frac{\cancel{3}}{5} = \frac{1}{5}
$$
This is a shortcut that makes the calculation faster.
---
✔ Conclusion:
The solution shown in the image is
correct!
$$
\frac{1}{3} \times \frac{3}{5} = \frac{1}{5}
$$
Well done! 🚀
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions with common denominator.
