What is 2 1/5+8\div 5/6 ?

The solution to 2 1/5+8\div 5/6 is 11 4/5

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Popular >

2 1/5+8\div 5/6

Solution

2 \frac{1}{5} + 8 \div \frac{5}{6}

Solution

11 \frac{4}{5}

Solution steps

2 \frac{1}{5} + 8 \div \frac{5}{6}

Convert mixed numbers to improper fractions:

2 \frac{1}{5} = \frac{11}{5}

2 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

2 \frac{1}{5} = \frac{2 \cdot 5 + 1}{5}

= \frac{11}{5}

= \frac{11}{5} + 8 \div \frac{5}{6}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

8 \div \frac{5}{6} : \frac{48}{5}

8 \div \frac{5}{6}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{5}{6}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{8}{1} \cdot \frac{6}{5}

Multiply fractions:

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

= \frac{8 \cdot 6}{1 \cdot 5}

Multiply the numbers:

8 \cdot 6 = 48

= \frac{48}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{48}{5}

= \frac{11}{5} + \frac{48}{5}

Add and subtract (left to right)

\frac{11}{5} + \frac{48}{5} : \frac{59}{5}

\frac{11}{5} + \frac{48}{5}

\frac{11}{5} + \frac{48}{5} = \frac{59}{5}

\frac{11}{5} + \frac{48}{5}

Apply rule

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

= \frac{11 + 48}{5}

Add the numbers:

11 + 48 = 59

= \frac{59}{5}

= \frac{59}{5}

= \frac{59}{5}

Convert improper fractions to mixed numbers:

\frac{59}{5} = 11 \frac{4}{5}

\frac{59}{5} = 11

Remainder

4

\frac{59}{5}

Write the problem in long division format

5 \overline{∣ 59}

Divide

5

5

to get

1

Divide

5

5

to get

1

1 5 \overline{∣ 59}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 59} \underline{5}

Subtract

5

from

5

1 5 \overline{∣ 59} \underline{5} 0

Bring down the next number of the dividend

1 5 \overline{∣ 59} \underline{5} 09

1 5 \overline{∣ 59} \underline{5} 09

Divide

9

5

to get

1

Divide

9

5

to get

1

11 5 \overline{∣ 59} \underline{5} 09

Multiply the quotient digit

(1)

by the divisor

5

11 5 \overline{∣ 59} \underline{5} 09 \underline{5}

Subtract

5

from

9

11 5 \overline{∣ 59} \underline{5} 09 \underline{5} 4

11 5 \overline{∣ 59} \underline{5} 09 \underline{5} 4

The solution for Long Division of

\frac{59}{5}

11

with remainder of

4

11 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{59}{5} = 11 \frac{4}{5}

= 11 \frac{4}{5}

= 11 \frac{4}{5}

Popular Examples

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- (2)^{2} - 6 (2) + 7

15+6\div 3-4\div 2+4

15 + 6 \div 3 - 4 \div 2 + 4

36-(13+5)\div 3^2*2

36 - (13 + 5) \div 3^{2} \cdot 2

5(4)+3

5 (4) + 3

(3-6)^2

(3 - 6)^{2}

Frequently Asked Questions (FAQ)

What is 2 1/5+8\div 5/6 ?
The solution to 2 1/5+8\div 5/6 is 11 4/5