What is (6 2/5+1 4/5)+3 1/5 ?

The solution to (6 2/5+1 4/5)+3 1/5 is 11 2/5

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Popular >

(6 2/5+1 4/5)+3 1/5

Solution

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

Solution

11 \frac{2}{5}

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{1}{5} = \frac{16}{5}

3 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

3 \frac{1}{5} = \frac{3 \cdot 5 + 1}{5}

= \frac{16}{5}

= (6 \frac{2}{5} + 1 \frac{4}{5}) + \frac{16}{5}

Convert mixed numbers to improper fractions:

6 \frac{2}{5} = \frac{32}{5}

6 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

6 \frac{2}{5} = \frac{6 \cdot 5 + 2}{5}

= \frac{32}{5}

= (\frac{32}{5} + 1 \frac{4}{5}) + \frac{16}{5}

Convert mixed numbers to improper fractions:

1 \frac{4}{5} = \frac{9}{5}

1 \frac{4}{5}

Convert mixed numbers to improper fraction:

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

1 \frac{4}{5} = \frac{1 \cdot 5 + 4}{5}

= \frac{9}{5}

= (\frac{32}{5} + \frac{9}{5}) + \frac{16}{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{32}{5} + \frac{9}{5}) : \frac{41}{5}

\frac{32}{5} + \frac{9}{5}

\frac{32}{5} + \frac{9}{5} = \frac{41}{5}

\frac{32}{5} + \frac{9}{5}

Apply rule

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

= \frac{32 + 9}{5}

Add the numbers:

32 + 9 = 41

= \frac{41}{5}

= \frac{41}{5}

= \frac{41}{5} + \frac{16}{5}

Add and subtract (left to right)

\frac{41}{5} + \frac{16}{5} : \frac{57}{5}

\frac{41}{5} + \frac{16}{5}

\frac{41}{5} + \frac{16}{5} = \frac{57}{5}

\frac{41}{5} + \frac{16}{5}

Apply rule

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

= \frac{41 + 16}{5}

Add the numbers:

41 + 16 = 57

= \frac{57}{5}

= \frac{57}{5}

= \frac{57}{5}

Convert improper fractions to mixed numbers:

\frac{57}{5} = 11 \frac{2}{5}

\frac{57}{5} = 11

Remainder

2

\frac{57}{5}

Write the problem in long division format

5 \overline{∣ 57}

Divide

5

5

to get

1

Divide

5

5

to get

1

1 5 \overline{∣ 57}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 57} \underline{5}

Subtract

5

from

5

1 5 \overline{∣ 57} \underline{5} 0

Bring down the next number of the dividend

1 5 \overline{∣ 57} \underline{5} 07

1 5 \overline{∣ 57} \underline{5} 07

Divide

7

5

to get

1

Divide

7

5

to get

1

11 5 \overline{∣ 57} \underline{5} 07

Multiply the quotient digit

(1)

by the divisor

5

11 5 \overline{∣ 57} \underline{5} 07 \underline{5}

Subtract

5

from

7

11 5 \overline{∣ 57} \underline{5} 07 \underline{5} 2

11 5 \overline{∣ 57} \underline{5} 07 \underline{5} 2

The solution for Long Division of

\frac{57}{5}

11

with remainder of

2

11 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{57}{5} = 11 \frac{2}{5}

= 11 \frac{2}{5}

= 11 \frac{2}{5}

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0+1/3-3/8-0

0 + \frac{1}{3} - \frac{3}{8} - 0

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7 \div 5 \div 6 - \frac{9}{2}

2(-3)(-5)-(-3)

2 (- 3) (- 5) - (- 3)

Frequently Asked Questions (FAQ)

What is (6 2/5+1 4/5)+3 1/5 ?
The solution to (6 2/5+1 4/5)+3 1/5 is 11 2/5