Question
multiply and simplify
5/6 x 2/7
5/6 x 2/7
Answers
GPT-4o mini
To multiply the fractions \( \frac{5}{6} \) and \( \frac{2}{7} \), you multiply the numerators together and the denominators together:
\[
\frac{5 \times 2}{6 \times 7} = \frac{10}{42}
\]
Next, simplify \( \frac{10}{42} \) by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 10 and 42 is 2.
Now divide both the numerator and the denominator by their GCD:
\[
\frac{10 \div 2}{42 \div 2} = \frac{5}{21}
\]
So, the simplified result of \( \frac{5}{6} \times \frac{2}{7} \) is \( \frac{5}{21} \).
\[
\frac{5 \times 2}{6 \times 7} = \frac{10}{42}
\]
Next, simplify \( \frac{10}{42} \) by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 10 and 42 is 2.
Now divide both the numerator and the denominator by their GCD:
\[
\frac{10 \div 2}{42 \div 2} = \frac{5}{21}
\]
So, the simplified result of \( \frac{5}{6} \times \frac{2}{7} \) is \( \frac{5}{21} \).