Question

7/8 sticks of butter for each cup of flour. What rate of cups of flour to sticks of butter is?

Answer 1

The rate of cups of flour to stick of butter is 1:7/8, which is equivalent to the fraction 1 integer over 7/8. Since we can express an integer as a fraction by simply dividing by 1, we have

$rate=\frac{1}{\frac{7}{8}}=\frac{\frac{1}{1}}{\frac{7}{8}}$

By applying the sandwhich rule:

we get

$rate=\frac{\frac{1}{1}}{\frac{7}{8}}=\frac{1\times8}{1\times7}=\frac{8}{7}$

then, the rate is

$\text{rate}=\frac{8}{7}$