What is (5-4/5)\times 1 ?

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

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(5-4/5)\times 1

(5 - \frac{4}{5}) \cdot 1

4 \frac{1}{5}

Solution steps

(5 - \frac{4}{5}) \cdot 1

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - \frac{4}{5}) : \frac{21}{5}

5 - \frac{4}{5}

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

5 - \frac{4}{5}

Convert element to fraction:

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

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

5 \cdot 5 - 4 = 21

5 \cdot 5 - 4

Multiply the numbers:

5 \cdot 5 = 25

= 25 - 4

Subtract the numbers:

25 - 4 = 21

= 21

= \frac{21}{5}

= \frac{21}{5}

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

Multiply and divide (left to right)

\frac{21}{5} \cdot 1 : \frac{21}{5}

\frac{21}{5} \cdot 1

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

\frac{3}{2} \times (\frac{5}{4} + 3)

14 - \frac{3}{8} (6)

12 - (16 + 9 (10 - 6)^{2} + (8 \times 5 - 1) + 19) + 3

920 - 10 - 500

(- 6) \cdot (14 - 2) - [9 - (- 4)]