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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.