What is 15/4 (1/2 \div 3/4) ?

The solution to 15/4 (1/2 \div 3/4) is 2 1/2

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15/4 (1/2 \div 3/4)

\frac{15}{4} (\frac{1}{2} \div \frac{3}{4})

2 \frac{1}{2}

Solution steps

\frac{15}{4} (\frac{1}{2} \div \frac{3}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} \div \frac{3}{4}) : \frac{2}{3}

= \frac{15}{4} \cdot \frac{2}{3}

Multiply and divide (left to right)

\frac{15}{4} \cdot \frac{2}{3} : \frac{5}{2}

= \frac{5}{2}

Convert improper fractions to mixed numbers:

\frac{5}{2} = 2 \frac{1}{2}

= 2 \frac{1}{2}

\frac{9}{5} - 6 \cdot \frac{4}{8}

20 - [15 - (4 + 28)]

5 \div 32 - 2 (3 \div 64)

42 - 4 (3 - 1)

8 - 1 \times 0 + 2 \div 2