Question

date:
problems
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the answers.
mike is trying to make 4 batches of cookies. the original recipe calls for $\frac{2}{3}$ cup of sugar. how many cups of sugar will mike need total?
the baker has 5 pounds of flour. if each loaf of bread takes $\frac{2}{5}$ pound of flour, how many loaves can he bake?

Explanation:

Step1: Calculate total sugar needed

Multiply batches by sugar per batch:
$$4 \times \frac{2}{3} = \frac{8}{3}$$

Step2: Convert to mixed number (optional)

$$\frac{8}{3} = 2\frac{2}{3}$$

Step3: Calculate total loaves of bread

Divide total flour by flour per loaf:
$$5 \div \frac{2}{5} = 5 \times \frac{5}{2} = \frac{25}{2}$$

Step4: Convert to mixed number (optional)

$$\frac{25}{2} = 12\frac{1}{2}$$

Answer:

1. Mike will need $\frac{8}{3}$ or $2\frac{2}{3}$ cups of sugar.
2. The baker can bake $\frac{25}{2}$ or $12\frac{1}{2}$ loaves of bread.