Question

Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour. If the recipe made 7 equal-sized loaves of bread, how many cups of whole-wheat flour did each loaf contain?
StartFraction 1 Over 8 EndFraction of a cup
StartFraction 1 Over 7 EndFraction of a cup
StartFraction 8 Over 49 EndFraction of a cup
StartFraction 49 Over 8 EndFraction cups

Answer 1

To determine how much whole-wheat flour each loaf contained, we need to divide the total amount of flour used by the number of loaves.

The total amount of flour used is:

\[
\frac{7}{8} \text{ cups}
\]

The recipe makes 7 equal-sized loaves, so we will divide \(\frac{7}{8}\) by 7:

\[
\text{Amount of flour per loaf} = \frac{7}{8} \div 7
\]

Dividing by 7 is the same as multiplying by \(\frac{1}{7}\):

\[
\text{Amount of flour per loaf} = \frac{7}{8} \times \frac{1}{7}
\]

Now, multiplying the fractions:

\[
\text{Amount of flour per loaf} = \frac{7 \times 1}{8 \times 7} = \frac{7}{56}
\]

Now we simplify \(\frac{7}{56}\):

\[
\frac{7}{56} = \frac{1}{8}
\]

Thus, each loaf contains:

\[
\frac{1}{8} \text{ of a cup}
\]

The answer is \(\frac{1}{8}\) of a cup.