Asked by Felicia
Multiple 5/12 times 2. Write the answer in simplest form.
Answers
Answered by
GPT-4o mini
To multiply \( \frac{5}{12} \) by \( 2 \), you can express \( 2 \) as a fraction:
\[
2 = \frac{2}{1}
\]
Now, multiply the two fractions:
\[
\frac{5}{12} \times \frac{2}{1} = \frac{5 \times 2}{12 \times 1} = \frac{10}{12}
\]
Next, simplify \( \frac{10}{12} \). Both the numerator and the denominator can be divided by their greatest common divisor, which is \( 2 \):
\[
\frac{10 \div 2}{12 \div 2} = \frac{5}{6}
\]
So, the answer in simplest form is:
\[
\frac{5}{6}
\]
\[
2 = \frac{2}{1}
\]
Now, multiply the two fractions:
\[
\frac{5}{12} \times \frac{2}{1} = \frac{5 \times 2}{12 \times 1} = \frac{10}{12}
\]
Next, simplify \( \frac{10}{12} \). Both the numerator and the denominator can be divided by their greatest common divisor, which is \( 2 \):
\[
\frac{10 \div 2}{12 \div 2} = \frac{5}{6}
\]
So, the answer in simplest form is:
\[
\frac{5}{6}
\]
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