What is (4+2 2/5)\times 1/5 ?

The solution to (4+2 2/5)\times 1/5 is 1 7/25

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Popular >

(4+2 2/5)\times 1/5

Solution

(4 + 2 \frac{2}{5}) \cdot \frac{1}{5}

Solution

1 \frac{7}{25}

Solution steps

(4 + 2 \frac{2}{5}) \cdot \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{2}{5} = \frac{12}{5}

2 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{12}{5}

= (4 + \frac{12}{5}) \cdot \frac{1}{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 + \frac{12}{5}) : \frac{32}{5}

4 + \frac{12}{5}

4 + \frac{12}{5} = \frac{32}{5}

4 + \frac{12}{5}

Convert element to fraction:

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

= \frac{4 \cdot 5}{5} + \frac{12}{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 + 12}{5}

4 \cdot 5 + 12 = 32

4 \cdot 5 + 12

Multiply the numbers:

4 \cdot 5 = 20

= 20 + 12

Add the numbers:

20 + 12 = 32

= 32

= \frac{32}{5}

= \frac{32}{5}

= \frac{32}{5} \cdot \frac{1}{5}

Multiply and divide (left to right)

\frac{32}{5} \cdot \frac{1}{5} : \frac{32}{25}

\frac{32}{5} \cdot \frac{1}{5}

Apply the fraction rule:

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

= \frac{32 \cdot 1}{5 \cdot 5}

Multiply the numbers:

32 \cdot 1 = 32

= \frac{32}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{32}{25}

= \frac{32}{25}

Convert improper fractions to mixed numbers:

\frac{32}{25} = 1 \frac{7}{25}

\frac{32}{25} = 1

Remainder

7

\frac{32}{25}

Write the problem in long division format

25 \overline{∣ 32}

Divide

32

25

to get

1

Divide

32

25

to get

1

1 25 \overline{∣ 32}

Multiply the quotient digit

(1)

by the divisor

25

1 25 \overline{∣ 32} \underline{25}

Subtract

25

from

32

1 25 \overline{∣ 32} \underline{25} 7

1 25 \overline{∣ 32} \underline{25} 7

The solution for Long Division of

\frac{32}{25}

1

with remainder of

7

1 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{32}{25} = 1 \frac{7}{25}

= 1 \frac{7}{25}

= 1 \frac{7}{25}

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Frequently Asked Questions (FAQ)

What is (4+2 2/5)\times 1/5 ?
The solution to (4+2 2/5)\times 1/5 is 1 7/25