Question

Your cousin needs $\frac{5}{7}$ cups of water for a cake recipe. If she wants to halve the recipe, then how much water does she need?

• A. $\frac{2}{7}\text{cups}$
• B. $\frac{5}{2}\text{cups}$
• C. $\frac{5}{14}\text{cups}$
• D. $\frac{1}{2}\text{cups}$

Answer 1

The correct option is C $\frac{5}{14}\text{cups}$

Detailed step-by-step solution:
Water required for the recipe = $\frac{5}{7}\text{cups}$
Half of the recipe means half of $\frac{5}{7}\text{cups}$ of water required, i.e., for half of the recipe, the amount of water required = $\frac{1}{2}\times \frac{5}{7}$

Multiply the numerator by the numerator =$1\times 5=5$

Multiply the denominator by the denominator = $2\times 7=14$

So, the amount of water she needs for half of the recipe = $\frac{5}{14}\text{cups}$

Hence, option C is correct.