What is (3/4-2/5)\div 2/3 ?

The solution to (3/4-2/5)\div 2/3 is 21/40

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(3/4-2/5)\div 2/3

(\frac{3}{4} - \frac{2}{5}) \div \frac{2}{3}

\frac{21}{40}

Solution steps

(\frac{3}{4} - \frac{2}{5}) \div \frac{2}{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{4} - \frac{2}{5}) : \frac{7}{20}

= \frac{7}{20} \div \frac{2}{3}

Multiply and divide (left to right)

\frac{7}{20} \div \frac{2}{3} : \frac{21}{40}

= \frac{21}{40}

+ [5 - (- 2)]

(- 6) + (- 6) + (- 6) + (- 6) + (- 6) + (- 6)

1 + 0 - 1

2^{1} (2 (1) + 1) - 1

(22 - 18) (18 \div 3) - 2 \times 8