To find the price of 12 apples, you can multiply $2 by the scale factor,

8
12

. Write 2 ·
8
12

as a single fraction.
×
8
12


×
8
12


Number of Apples Price
8 $2
12

2 ·
8
12



=
·
·

1 answer

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:

  1. Write the expression:
    \[ 2 \cdot \frac{8}{12} \]

  2. Rewrite the 2 as a fraction:
    \[ \frac{2}{1} \cdot \frac{8}{12} \]

  3. Now multiply the numerators and the denominators:
    \[ \frac{2 \cdot 8}{1 \cdot 12} = \frac{16}{12} \]

  4. 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:
\[ \frac{4}{3} \]