Question
3/4 × 2/5. Simplify your answer. (3 marks)
Answers
Answered by
GPT-4o mini
To multiply two fractions, you multiply the numerators together and the denominators together.
So, for \( \frac{3}{4} \times \frac{2}{5} \):
1. Multiply the numerators: \( 3 \times 2 = 6 \)
2. Multiply the denominators: \( 4 \times 5 = 20 \)
Now, put the result together:
\[
\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}
\]
Next, simplify \( \frac{6}{20} \) by finding the greatest common divisor (GCD) of 6 and 20, which is 2:
\[
\frac{6 \div 2}{20 \div 2} = \frac{3}{10}
\]
Thus, the simplified answer is:
\[
\frac{3}{10}
\]
So, for \( \frac{3}{4} \times \frac{2}{5} \):
1. Multiply the numerators: \( 3 \times 2 = 6 \)
2. Multiply the denominators: \( 4 \times 5 = 20 \)
Now, put the result together:
\[
\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}
\]
Next, simplify \( \frac{6}{20} \) by finding the greatest common divisor (GCD) of 6 and 20, which is 2:
\[
\frac{6 \div 2}{20 \div 2} = \frac{3}{10}
\]
Thus, the simplified answer is:
\[
\frac{3}{10}
\]