Question

o find the price of 15 pounds of grapes, you need to multiply $6 by the scale factor,
4
15
​
. Write 6·
4
15
​
as a single fraction.
×
4
15
​

×
4
15
​

Pounds of Grapes Price
4 $6
15
6 ·
4
15
​

=
6
·
·

Answer 1

To find the price of 15 pounds of grapes, you need to multiply the price per 4 pounds by the scale factor \(\frac{15}{4}\).

The equation you're working with is:

\[
6 \cdot \frac{15}{4}
\]

To express this as a single fraction, you can multiply the whole number \(6\) by the fraction \(\frac{15}{4}\).

First, rewrite \(6\) as a fraction:

\[
6 = \frac{6}{1}
\]

Now, multiply the two fractions:

\[
\frac{6}{1} \cdot \frac{15}{4} = \frac{6 \cdot 15}{1 \cdot 4} = \frac{90}{4}
\]

Now, simplify the fraction \(\frac{90}{4}\):

\[
\frac{90}{4} = \frac{45}{2} = 22.5
\]

Therefore, the price of 15 pounds of grapes is \(\frac{90}{4}\), or \(22.5\).

So, the complete equation can also be written as:

\[
6 \cdot \frac{15}{4} = \frac{90}{4}
\]

And the final answer is:

\[
\frac{90}{4} \text{ or } 22.5
\]