What is 2-(-8/5)-1/5 ?

The solution to 2-(-8/5)-1/5 is 3 2/5

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Popular >

2-(-8/5)-1/5

Solution

2 - (- \frac{8}{5}) - \frac{1}{5}

Solution

3 \frac{2}{5}

Solution steps

2 - (- \frac{8}{5}) - \frac{1}{5}

Follow the PEMDAS order of operations

Add and subtract (left to right)

Apply rule

- (- a) = + a

- (- \frac{8}{5}) = + \frac{8}{5}

= 2 + \frac{8}{5} - \frac{1}{5}

2 + \frac{8}{5} = \frac{18}{5}

2 + \frac{8}{5}

Convert element to fraction:

2 = \frac{2 \cdot 5}{5}

= \frac{2 \cdot 5}{5} + \frac{8}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 5 + 8}{5}

2 \cdot 5 + 8 = 18

2 \cdot 5 + 8

Multiply the numbers:

2 \cdot 5 = 10

= 10 + 8

Add the numbers:

10 + 8 = 18

= 18

= \frac{18}{5}

= \frac{18}{5} - \frac{1}{5}

\frac{18}{5} - \frac{1}{5} = \frac{17}{5}

\frac{18}{5} - \frac{1}{5}

Apply rule

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

= \frac{18 - 1}{5}

Subtract the numbers:

18 - 1 = 17

= \frac{17}{5}

= \frac{17}{5}

Convert improper fractions to mixed numbers:

\frac{17}{5} = 3 \frac{2}{5}

\frac{17}{5} = 3

Remainder

2

\frac{17}{5}

Write the problem in long division format

5 \overline{∣ 17}

Divide

17

5

to get

3

Divide

17

5

to get

3

3 5 \overline{∣ 17}

Multiply the quotient digit

(3)

by the divisor

5

3 5 \overline{∣ 17} \underline{15}

Subtract

15

from

17

3 5 \overline{∣ 17} \underline{15} 2

3 5 \overline{∣ 17} \underline{15} 2

The solution for Long Division of

\frac{17}{5}

3

with remainder of

2

3 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{17}{5} = 3 \frac{2}{5}

= 3 \frac{2}{5}

= 3 \frac{2}{5}

Popular Examples

8\times 2^2

8 \times 2^{2}

44^2-39^2

4 4^{2} - 3 9^{2}

-0^2+5

- 0^{2} + 5

-0^2+4

- 0^{2} + 4

-0^2-1

- 0^{2} - 1

Frequently Asked Questions (FAQ)

What is 2-(-8/5)-1/5 ?
The solution to 2-(-8/5)-1/5 is 3 2/5