Question
3/4 x 5/6, write in simplest form
Answers
GPT-4o mini
To multiply the fractions \( \frac{3}{4} \) and \( \frac{5}{6} \), you multiply the numerators together and the denominators together:
\[
\frac{3}{4} \times \frac{5}{6} = \frac{3 \times 5}{4 \times 6} = \frac{15}{24}
\]
Next, we need to simplify \( \frac{15}{24} \). To do this, we find the greatest common divisor (GCD) of 15 and 24. The GCD is 3.
Now, we divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
\]
Thus, the simplest form of \( \frac{3}{4} \times \frac{5}{6} \) is \( \frac{5}{8} \).
\[
\frac{3}{4} \times \frac{5}{6} = \frac{3 \times 5}{4 \times 6} = \frac{15}{24}
\]
Next, we need to simplify \( \frac{15}{24} \). To do this, we find the greatest common divisor (GCD) of 15 and 24. The GCD is 3.
Now, we divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
\]
Thus, the simplest form of \( \frac{3}{4} \times \frac{5}{6} \) is \( \frac{5}{8} \).