To determine the amount of milk Charlotte uses per cup of flour, you can find the ratio of the amount of milk to the amount of flour. Here’s the detailed, step-by-step solution:
1. Identify the amount of milk and flour used:
- Charlotte uses [tex]\(\frac{5}{8}\)[/tex] cup of milk.
- Charlotte uses [tex]\(\frac{1}{2}\)[/tex] cup of flour.
2. Set up the ratio of milk to flour:
We want to find the amount of milk per cup of flour, so we set up the ratio as:
[tex]\[
\frac{\text{milk}}{\text{flour}} = \frac{\frac{5}{8} \text{ cup of milk}}{\frac{1}{2} \text{ cup of flour}}
\][/tex]
3. Divide the two fractions:
When you divide fractions, you multiply by the reciprocal of the denominator. Thus:
[tex]\[
\frac{\frac{5}{8}}{\frac{1}{2}} = \frac{5}{8} \times \frac{2}{1}
\][/tex]
4. Multiply the fractions:
[tex]\[
\frac{5}{8} \times \frac{2}{1} = \frac{5 \times 2}{8 \times 1} = \frac{10}{8}
\][/tex]
5. Simplify the fraction:
Simplify [tex]\(\frac{10}{8}\)[/tex] by dividing the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{10}{8} = \frac{10 \div 2}{8 \div 2} = \frac{5}{4}
\][/tex]
6. Express the simplified fraction as a decimal:
[tex]\(\frac{5}{4}\)[/tex] can be converted to a decimal by performing the division:
[tex]\[
\frac{5}{4} = 1.25
\][/tex]
Therefore, Charlotte uses [tex]\(1.25\)[/tex] cups of milk for each cup of flour.
