Question

a baker needs 3/4 cup of sugar, but he can only find a 1/2 - cup measure, so he decides to estimate. which of the following would result in the correct amount of sugar? one full scoop plus 1/3 of a scoop one full scoop plus 1/2 of a scoop 1/2 of a scoop two scoops

Explanation:

Step1: Set up division problem

We need to find out how many $\frac{1}{2}$ - cup scoops are in $\frac{3}{4}$ cup. So we calculate $\frac{3}{4}\div\frac{1}{2}$.

Step2: Use division - rule for fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{4}\div\frac{1}{2}=\frac{3}{4}\times\frac{2}{1}$.

Step3: Multiply the fractions

$\frac{3}{4}\times\frac{2}{1}=\frac{3\times2}{4\times1}=\frac{6}{4}=\frac{3}{2}= 1\frac{1}{2}$. This means one full scoop plus $\frac{1}{2}$ of a scoop.

Answer:

One full scoop plus $\frac{1}{2}$ of a scoop