Question

To find the price of 14 apples, you can multiply $3 by the scale factor,
6
14
​
. Write 3 ·
6
14
​
as a single fraction.
×
6
14
​

×
6
14
​

Number of Apples Price
6 $3
14


3 ·
6
14
​


=
·
·

Answer 1

To write \( 3 \cdot \frac{6}{14} \) as a single fraction, you can follow these steps:

1. You start with the expression:
\[
3 \cdot \frac{6}{14}
\]

2. Rewrite the whole number \( 3 \) as a fraction:
\[
3 = \frac{3}{1}
\]

3. Now, multiply the fractions:
\[
\frac{3}{1} \cdot \frac{6}{14} = \frac{3 \cdot 6}{1 \cdot 14}
\]

4. Calculate the numerator and denominator:
\[
\frac{18}{14}
\]

5. Simplify the fraction:
\[
\frac{18 \div 2}{14 \div 2} = \frac{9}{7}
\]

Thus, the expression \( 3 \cdot \frac{6}{14} \) as a single fraction is:
\[
\frac{9}{7}
\]