What is (1-3/5)-(2/10-4) ?

The solution to (1-3/5)-(2/10-4) is 4 1/5

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(1-3/5)-(2/10-4)

Solution

(1 - \frac{3}{5}) - (\frac{2}{10} - 4)

Solution

4 \frac{1}{5}

Solution steps

(1 - \frac{3}{5}) - (\frac{2}{10} - 4)

\frac{2}{10} = \frac{1}{5}

Cancel the common factor:

2

\frac{1}{5}

= 1 - \frac{3}{5} - (\frac{1}{5} - 4)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{5} - 4) : - \frac{19}{5}

\frac{1}{5} - 4

\frac{1}{5} - 4 = - \frac{19}{5}

\frac{1}{5} - 4

Convert element to fraction:

4 = \frac{4 \cdot 5}{5}

= - \frac{4 \cdot 5}{5} + \frac{1}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 4 \cdot 5 + 1}{5}

- 4 \cdot 5 + 1 = - 19

- 4 \cdot 5 + 1

Multiply the numbers:

4 \cdot 5 = 20

= - 20 + 1

Add/Subtract the numbers:

- 20 + 1 = - 19

= - 19

= \frac{- 19}{5}

Apply the fraction rule:

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

= - \frac{19}{5}

= - \frac{19}{5}

= 1 - \frac{3}{5} - (- \frac{19}{5})

Add and subtract (left to right)

1 - \frac{3}{5} - (- \frac{19}{5}) : \frac{21}{5}

1 - \frac{3}{5} - (- \frac{19}{5})

1 - \frac{3}{5} = \frac{2}{5}

1 - \frac{3}{5}

Convert element to fraction:

1 = \frac{1 \cdot 5}{5}

= \frac{1 \cdot 5}{5} - \frac{3}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 5 - 3}{5}

1 \cdot 5 - 3 = 2

1 \cdot 5 - 3

Multiply the numbers:

1 \cdot 5 = 5

= 5 - 3

Subtract the numbers:

5 - 3 = 2

= 2

= \frac{2}{5}

= \frac{2}{5} - (- \frac{19}{5})

Apply rule

- (- a) = + a

- (- \frac{19}{5}) = + \frac{19}{5}

= \frac{2}{5} + \frac{19}{5}

\frac{2}{5} + \frac{19}{5} = \frac{21}{5}

\frac{2}{5} + \frac{19}{5}

Apply rule

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

= \frac{2 + 19}{5}

Add the numbers:

2 + 19 = 21

= \frac{21}{5}

= \frac{21}{5}

= \frac{21}{5}

Convert improper fractions to mixed numbers:

\frac{21}{5} = 4 \frac{1}{5}

\frac{21}{5} = 4

Remainder

1

\frac{21}{5}

Write the problem in long division format

5 \overline{∣ 21}

Divide

21

5

to get

4

Divide

21

5

to get

4

4 5 \overline{∣ 21}

Multiply the quotient digit

(4)

by the divisor

5

4 5 \overline{∣ 21} \underline{20}

Subtract

20

from

21

4 5 \overline{∣ 21} \underline{20} 1

4 5 \overline{∣ 21} \underline{20} 1

The solution for Long Division of

\frac{21}{5}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{21}{5} = 4 \frac{1}{5}

= 4 \frac{1}{5}

= 4 \frac{1}{5}

Popular Examples

5(3)^2

5 (3)^{2}

-1^2-3

- 1^{2} - 3

2(-2)-3

2 (- 2) - 3

2^6-1

2^{6} - 1

2^{12}+2^{12}+2^{12}+2^{12}

2^{12} + 2^{12} + 2^{12} + 2^{12}

Frequently Asked Questions (FAQ)

What is (1-3/5)-(2/10-4) ?
The solution to (1-3/5)-(2/10-4) is 4 1/5