Question

farid is baking muffins. the recipe calls for $\frac{3}{4}$ cup of sugar for a full batch. farid is making $\frac{1}{2}$ of a batch. write an expression for the amount of sugar farid needs to make $\frac{1}{2}$ of a batch of muffins. $\frac{1}{2}cdot\frac{3}{4}$ how much sugar should farid use for $\frac{1}{2}$ of a batch of muffins? cup

Explanation:

Step1: Recall fraction - multiplication rule

To find the amount of sugar for a fraction of a batch, we multiply the fraction of the batch by the amount of sugar for a full - batch. The expression for the amount of sugar Farid needs is $\frac{1}{2}\times\frac{3}{4}$.

Step2: Multiply the numerators and denominators

When multiplying two fractions $\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}$. Here, $a = 1$, $b = 2$, $c = 3$, and $d = 4$. So, $\frac{1}{2}\times\frac{3}{4}=\frac{1\times3}{2\times4}$.

Step3: Calculate the result

$1\times3 = 3$ and $2\times4=8$. So, $\frac{1\times3}{2\times4}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$