What is -6 3/5-(-12) 4/8 ?

The solution to -6 3/5-(-12) 4/8 is -3/5

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-6 3/5-(-12) 4/8

- 6 \frac{3}{5} - (- 12) \frac{4}{8}

- \frac{3}{5}

Solution steps

- 6 \frac{3}{5} - (- 12) \frac{4}{8}

Convert mixed numbers to improper fractions:

6 \frac{3}{5} = \frac{33}{5}

6 \frac{3}{5}

Convert mixed numbers to improper fraction:

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

6 \frac{3}{5} = \frac{6 \cdot 5 + 3}{5}

= \frac{33}{5}

= - \frac{33}{5} - (- 12) \frac{4}{8}

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

Cancel the common factor:

4

\frac{1}{2}

= - \frac{33}{5} - (- 12) \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 12) \frac{1}{2} : - 6

(- 12) \frac{1}{2}

Apply rule

(- a) \cdot b = - a \cdot b

(- 12) \frac{1}{2} = - 12 \cdot \frac{1}{2}

Convert element to fraction:

12 = \frac{12}{1}

= - \frac{12}{1} \cdot \frac{1}{2}

Apply the fraction rule:

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

\frac{12}{1} \cdot \frac{1}{2} = \frac{12 \cdot 1}{1 \cdot 2}

= - \frac{12 \cdot 1}{1 \cdot 2}

\frac{12 \cdot 1}{1 \cdot 2} = 6

\frac{12 \cdot 1}{1 \cdot 2}

\frac{12 \cdot 1}{1 \cdot 2} = \frac{12}{2}

\frac{12 \cdot 1}{1 \cdot 2}

Multiply the numbers:

12 \cdot 1 = 12

= \frac{12}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{12}{2}

= \frac{12}{2}

Divide the numbers:

\frac{12}{2} = 6

= 6

= - 6

= - \frac{33}{5} - (- 6)

Add and subtract (left to right)

- \frac{33}{5} - (- 6) : - \frac{3}{5}

- \frac{33}{5} - (- 6)

Apply rule

- (- a) = + a

- (- 6) = + 6

= - \frac{33}{5} + 6

- \frac{33}{5} + 6 = - \frac{3}{5}

- \frac{33}{5} + 6

Convert element to fraction:

6 = \frac{6 \cdot 5}{5}

= \frac{6 \cdot 5}{5} - \frac{33}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 5 - 33}{5}

6 \cdot 5 - 33 = - 3

6 \cdot 5 - 33

Multiply the numbers:

6 \cdot 5 = 30

= 30 - 33

Subtract the numbers:

30 - 33 = - 3

= - 3

= \frac{- 3}{5}

Apply the fraction rule:

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

= - \frac{3}{5}

= - \frac{3}{5}

= - \frac{3}{5}

1 1^{2} \div 11

2^{3} + 6^{2} \div 9

6 (0) - 24

4^{2} + 16

- 3 + \frac{3}{2} + 6