What is Half of One and One-Third Cups?

Answer – Half of one and one-third ( $1 \frac{1}{3}$ ) cups is two-thirds ( $\frac{2}{3}$ ) of a cup.

Explanation:

To calculate half of a fraction, it must be multiplied by $\frac{1}{2}$ .

Therefore, to find what half of $1 \frac{1}{3}$ cups is,

$1 \frac{1}{3} \times \frac{1}{2}$

Since $1 \frac{1}{3}$ is a mixed fraction, it must first be converted into an improper fraction. To do so, the whole number (1) must be multiplied by the denominator (3), the product of which is added to the numerator (1). This product here is 4 (from 1 $\times$ 3+1). This is the numerator of the improper fraction. The denominator remains the same.

Therefore, $1 \frac{1}{3} = \frac{4}{3}$

Now, to calculate its half,

$\frac{4}{3} \times \frac{1}{2} = \frac{4}{3 \times 2} = \frac{4}{6} = \frac{2}{3}$

Thus, half of one and one-third cups is two-thirds of a cup.

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Answer – Half of one and one-third (113) cups is two-thirds (23) of a cup.

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Answer – Half of one and one-third ( $1 \frac{1}{3}$ ) cups is two-thirds ( $\frac{2}{3}$ ) of a cup.