Question

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
​


=
·
·

Answer 1

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