What is 5\div 32-2(3\div 64) ?

The solution to 5\div 32-2(3\div 64) is 1/16

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

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

\frac{1}{16}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(3 \div 64) : \frac{3}{64}

3 \div 64

3 \div 64 = \frac{3}{64}

= \frac{3}{64}

= 5 \div 32 - 2 \cdot \frac{3}{64}

Multiply and divide (left to right)

5 \div 32 : \frac{5}{32}

5 \div 32

5 \div 32 = \frac{5}{32}

= \frac{5}{32}

= \frac{5}{32} - 2 \cdot \frac{3}{64}

Multiply and divide (left to right)

2 \cdot \frac{3}{64} : \frac{3}{32}

2 \cdot \frac{3}{64}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{3}{64}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 3}{1 \cdot 64}

\frac{2 \cdot 3}{1 \cdot 64} = \frac{3}{32}

\frac{2 \cdot 3}{1 \cdot 64}

Multiply the numbers:

1 \cdot 64 = 64

= \frac{2 \cdot 3}{64}

Factor the number:

64 = 2 \cdot 32

= \frac{2 \cdot 3}{2 \cdot 32}

Cancel the common factor:

2

= \frac{3}{32}

= \frac{3}{32}

= \frac{5}{32} - \frac{3}{32}

Add and subtract (left to right)

\frac{5}{32} - \frac{3}{32} : \frac{1}{16}

\frac{5}{32} - \frac{3}{32}

\frac{5}{32} - \frac{3}{32} = \frac{1}{16}

\frac{5}{32} - \frac{3}{32}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 - 3}{32}

Subtract the numbers:

5 - 3 = 2

= \frac{2}{32}

Cancel the common factor:

2

= \frac{1}{16}

= \frac{1}{16}

= \frac{1}{16}

42 - 4 (3 - 1)

8 - 1 \times 0 + 2 \div 2

5 \div 8 + 4 \div 6 - 8 \div 9 + 2 \div 3 - 2 \div 24

\frac{21}{8} + 3 \div 2

\frac{9 ( 8 - 2 ) - 3 ( 15 - 7 )}{6 ( 7 - 1 ) - 3 ( 17 - 9 )}