To write \( 2 \cdot \frac{8}{12} \) as a single fraction, you multiply the numerator (the number before the fraction) by the numerator of the fraction and then keep the denominator the same.
Here’s the step-by-step calculation:
-
Write the expression:
\[ 2 \cdot \frac{8}{12} \] -
Rewrite the 2 as a fraction:
\[ \frac{2}{1} \cdot \frac{8}{12} \] -
Now multiply the numerators and the denominators:
\[ \frac{2 \cdot 8}{1 \cdot 12} = \frac{16}{12} \] -
Simplify \( \frac{16}{12} \) by dividing both numerator and denominator by their greatest common divisor, which is 4:
\[ \frac{16 \div 4}{12 \div 4} = \frac{4}{3} \]
So, \( 2 \cdot \frac{8}{12} \) as a single fraction is:
\[
\frac{4}{3}
\]