What is 8 1/5+(3 2/5+5 4/5) ?

The solution to 8 1/5+(3 2/5+5 4/5) is 17 2/5

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Popular >

8 1/5+(3 2/5+5 4/5)

Solution

8 \frac{1}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

Solution

17 \frac{2}{5}

Solution steps

8 \frac{1}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

8 \frac{1}{5} = \frac{41}{5}

8 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

8 \frac{1}{5} = \frac{8 \cdot 5 + 1}{5}

= \frac{41}{5}

= \frac{41}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

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

3 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

3 \frac{2}{5} = \frac{3 \cdot 5 + 2}{5}

= \frac{17}{5}

= \frac{41}{5} + (\frac{17}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

5 \frac{4}{5} = \frac{29}{5}

5 \frac{4}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{29}{5}

= \frac{41}{5} + (\frac{17}{5} + \frac{29}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{17}{5} + \frac{29}{5}) : \frac{46}{5}

\frac{17}{5} + \frac{29}{5}

\frac{17}{5} + \frac{29}{5} = \frac{46}{5}

\frac{17}{5} + \frac{29}{5}

Apply rule

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

= \frac{17 + 29}{5}

Add the numbers:

17 + 29 = 46

= \frac{46}{5}

= \frac{46}{5}

= \frac{41}{5} + \frac{46}{5}

Add and subtract (left to right)

\frac{41}{5} + \frac{46}{5} : \frac{87}{5}

\frac{41}{5} + \frac{46}{5}

\frac{41}{5} + \frac{46}{5} = \frac{87}{5}

\frac{41}{5} + \frac{46}{5}

Apply rule

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

= \frac{41 + 46}{5}

Add the numbers:

41 + 46 = 87

= \frac{87}{5}

= \frac{87}{5}

= \frac{87}{5}

Convert improper fractions to mixed numbers:

\frac{87}{5} = 17 \frac{2}{5}

\frac{87}{5} = 17

Remainder

2

\frac{87}{5}

Write the problem in long division format

5 \overline{∣ 87}

Divide

8

5

to get

1

Divide

8

5

to get

1

1 5 \overline{∣ 87}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 87} \underline{5}

Subtract

5

from

8

1 5 \overline{∣ 87} \underline{5} 3

Bring down the next number of the dividend

1 5 \overline{∣ 87} \underline{5} 37

1 5 \overline{∣ 87} \underline{5} 37

Divide

37

5

to get

7

Divide

37

5

to get

7

17 5 \overline{∣ 87} \underline{5} 37

Multiply the quotient digit

(7)

by the divisor

5

17 5 \overline{∣ 87} \underline{5} 37 \underline{35}

Subtract

35

from

37

17 5 \overline{∣ 87} \underline{5} 37 \underline{35} 2

17 5 \overline{∣ 87} \underline{5} 37 \underline{35} 2

The solution for Long Division of

\frac{87}{5}

17

with remainder of

2

17 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{87}{5} = 17 \frac{2}{5}

= 17 \frac{2}{5}

= 17 \frac{2}{5}

Popular Examples

2(1/3+1/2)

2 (\frac{1}{3} + \frac{1}{2})

23(1/46-9/15)

23 (\frac{1}{46} - \frac{9}{15})

1-9^2

1 - 9^{2}

(12-2^4)^3

(12 - 2^{4})^{3}

16(1)^2

16 (1)^{2}

Frequently Asked Questions (FAQ)

What is 8 1/5+(3 2/5+5 4/5) ?
The solution to 8 1/5+(3 2/5+5 4/5) is 17 2/5