Question

To keep the ratio equivalent, you need to divide
2
1
​
by 1
7
3
​
also. How many cups of lemonade concentrate does Elyse’s recipe need for 1 cup of water? Solve
2
1
​
÷ 1
7
3
​
on paper, then enter your answer on Zearn.

Answer 1

To solve the division of the fractions \( \frac{2}{1} \div \frac{1}{7} \):

First, remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we have:

\[
\frac{2}{1} \div \frac{1}{7} = \frac{2}{1} \times \frac{7}{1}
\]

Now, perform the multiplication:

\[
\frac{2 \times 7}{1 \times 1} = \frac{14}{1} = 14
\]

Therefore, the result of \( \frac{2}{1} \div \frac{1}{7} \) is 14.

This means Elyse’s recipe needs 14 cups of lemonade concentrate for each cup of water.