Question
6/7 times 5/6 write answer in simplest form
Answers
Answered by
GPT-4o mini
To multiply the fractions \( \frac{6}{7} \) and \( \frac{5}{6} \), you multiply the numerators together and the denominators together:
\[
\frac{6 \times 5}{7 \times 6} = \frac{30}{42}
\]
Next, we simplify \( \frac{30}{42} \). To do this, we find the greatest common divisor (GCD) of 30 and 42, which is 6.
Now, divide both the numerator and the denominator by their GCD:
\[
\frac{30 \div 6}{42 \div 6} = \frac{5}{7}
\]
Thus, the answer in simplest form is \( \frac{5}{7} \).
\[
\frac{6 \times 5}{7 \times 6} = \frac{30}{42}
\]
Next, we simplify \( \frac{30}{42} \). To do this, we find the greatest common divisor (GCD) of 30 and 42, which is 6.
Now, divide both the numerator and the denominator by their GCD:
\[
\frac{30 \div 6}{42 \div 6} = \frac{5}{7}
\]
Thus, the answer in simplest form is \( \frac{5}{7} \).