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Evaluate the expression: 2/5 ÷ 1 1/3 × 1 2/3

April 9, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{1}{2}

5 steps

Here is the solution to the problem:

$\frac{2}{5} \div 1\frac{1}{3} \times 1\frac{2}{3}$

Convert the mixed numbers to improper fractions.
$1\frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3}$ $1\frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3}$
Rewrite the expression with improper fractions.
$\frac{2}{5} \div \frac{4}{3} \times \frac{5}{3}$
Perform the division first (from left to right).
To divide by a fraction, multiply by its reciprocal.
$\frac{2}{5} \times \frac{3}{4} \times \frac{5}{3}$
Perform the multiplication.
$\frac{2 \times 3 \times 5}{5 \times 4 \times 3} = \frac{30}{60}$
Simplify the fraction.
$\frac{30}{60} = \frac{1}{2}$
The final answer is $\frac{1}{2}$ .

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