Question

To help you find the price of 16 pears, find
1
3
​
·
6
16
​
. Select all the equivalent values for
1
3
​
·
6
16
​
.
×
6
16
​

×
6
16
​

Number of Pears Price
6 $3
16 ?


3 ·
6
16
​


=
3 · 16
1 · 6

48

6
48
​


6
16
​


8

Answer 1

To find the price of 16 pears, we start by computing the expression given:

\[
\frac{1}{3} \cdot \frac{6}{16}
\]

Calculating this expression step-by-step:

1. Multiply the numerators:
\[
1 \cdot 6 = 6
\]

2. Multiply the denominators:
\[
3 \cdot 16 = 48
\]

So, we have:

\[
\frac{6}{48}
\]

Now we can simplify \(\frac{6}{48}\):

\[
\frac{6 \div 6}{48 \div 6} = \frac{1}{8}
\]

Now we know that the price per pear is \(\frac{1}{8}\) of the price of 6 pears. Since 6 pears cost $3, we find the cost of one pear:

\[
\text{Price per pear} = \frac{3}{6} = \frac{1}{2}
\]

To find the cost of 16 pears:

\[
\text{Total cost for 16 pears} = 16 \cdot \frac{1}{2} = 8
\]

To summarize, the equivalent values for \(\frac{1}{3} \cdot \frac{6}{16}\) are:
- \(\frac{1}{8}\) (the simplified form)
- \(\frac{6}{48}\) (the multiplication result before simplification)

Hence, the cost of 16 pears is $8.