What is (5-3/5)\times 1 ?

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

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(5-3/5)\times 1

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

4 \frac{2}{5}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - \frac{3}{5}) : \frac{22}{5}

5 - \frac{3}{5}

5 - \frac{3}{5} = \frac{22}{5}

5 - \frac{3}{5}

Convert element to fraction:

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

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

5 \cdot 5 - 3 = 22

5 \cdot 5 - 3

Multiply the numbers:

5 \cdot 5 = 25

= 25 - 3

Subtract the numbers:

25 - 3 = 22

= 22

= \frac{22}{5}

= \frac{22}{5}

= \frac{22}{5} \cdot 1

Multiply and divide (left to right)

\frac{22}{5} \cdot 1 : \frac{22}{5}

\frac{22}{5} \cdot 1

\frac{22}{5} \cdot 1 = \frac{22}{5}

= \frac{22}{5}

= \frac{22}{5}

Convert improper fractions to mixed numbers:

\frac{22}{5} = 4 \frac{2}{5}

\frac{22}{5} = 4

Remainder

2

\frac{22}{5}

Write the problem in long division format

5 \overline{∣ 22}

Divide

22

5

to get

4

Divide

22

5

to get

4

4 5 \overline{∣ 22}

Multiply the quotient digit

(4)

by the divisor

5

4 5 \overline{∣ 22} \underline{20}

Subtract

20

from

22

4 5 \overline{∣ 22} \underline{20} 2

4 5 \overline{∣ 22} \underline{20} 2

The solution for Long Division of

\frac{22}{5}

4

with remainder of

2

4 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{22}{5} = 4 \frac{2}{5}

= 4 \frac{2}{5}

= 4 \frac{2}{5}

- (- 2)^{2} + 3

- 6 \times (- 4 + 16) \div 2

2 \times [(- 12 + 36) \div 6 + (8 - 5) \div (- 3)] - 6

2 \times 5^{2}

(3 \cdot 4)^{2}