# Doubling the recipe for a chocolate cake. The cake requires 2 3/4 cups of flour and 1 1/3 cup of sugar. how much flour and how much sugar will be needed?

May 24, 2018

Flour $= 5 \frac{1}{2} \setminus \text{cups}$

Sugar $= 2 \frac{2}{3} \setminus \text{cups}$

#### Explanation:

If you transfer these fractions into mixed fractions, you get

$2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4}$

for flour and

$1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3}$

for sugar, which then must be doubled, so you get

$\frac{11}{4} \times 2 = \frac{22}{4} \to$ flour

and

$\frac{4}{3} \times 2 = \frac{8}{3} \to$ sugar

which translates to $5 \frac{1}{2}$ flour and $2 \frac{2}{3}$ sugar.