Question
Multiply 3/4 x 5/6 write the answer in the simplest form
Answers
Answered by
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 \( \frac{15}{24} \). We can find the greatest common divisor (GCD) of 15 and 24, which is 3.
Now, divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
\]
So, the answer in simplest form 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 \( \frac{15}{24} \). We can find the greatest common divisor (GCD) of 15 and 24, which is 3.
Now, divide both the numerator and the denominator by their GCD:
\[
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
\]
So, the answer in simplest form is:
\[
\frac{5}{8}
\]