The solution to 9/5-6*4/8 is -6/5

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9/5-6*4/8

Solution

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

- \frac{6}{5}

Solution steps

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

\frac{4}{8} = \frac{1}{2}

Cancel the common factor:

4

\frac{1}{2}

= \frac{9}{5} - 6 \cdot \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

6 \cdot \frac{1}{2} : 3

6 \cdot \frac{1}{2}

Convert element to fraction:

6 = \frac{6}{1}

= \frac{6}{1} \cdot \frac{1}{2}

Apply the fraction rule:

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

= \frac{6 \cdot 1}{1 \cdot 2}

\frac{6 \cdot 1}{1 \cdot 2} = 3

\frac{6 \cdot 1}{1 \cdot 2}

\frac{6 \cdot 1}{1 \cdot 2} = \frac{6}{2}

\frac{6 \cdot 1}{1 \cdot 2}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{6}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{6}{2}

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

= 3

= \frac{9}{5} - 3

Add and subtract (left to right)

\frac{9}{5} - 3 : - \frac{6}{5}

\frac{9}{5} - 3

\frac{9}{5} - 3 = - \frac{6}{5}

\frac{9}{5} - 3

Convert element to fraction:

3 = \frac{3 \cdot 5}{5}

= - \frac{3 \cdot 5}{5} + \frac{9}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 5 + 9}{5}

- 3 \cdot 5 + 9 = - 6

- 3 \cdot 5 + 9

Multiply the numbers:

3 \cdot 5 = 15

= - 15 + 9

Add/Subtract the numbers:

- 15 + 9 = - 6

= - 6

= \frac{- 6}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{6}{5}

= - \frac{6}{5}

= - \frac{6}{5}

20 - [15 - (4 + 28)]

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

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