What is mixednumber 130/6 ?

The solution to mixednumber 130/6 is 21 2/3

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Popular Pre Algebra >

Convert to a Mixed Number 130/6

Solution

mixednumber

Solution

21 \frac{2}{3}

Decimal

21.66666 \dots

Solution steps

\frac{130}{6}

Reduce the fraction

\frac{130}{6} : \frac{65}{3}

\frac{130}{6}

Find a common factor of

130

and

6

in order to cancel it out

Greatest Common Divisor of

130, 6 : 2

130, 6

Greatest Common Divisor (GCD)

Prime factorization of

130 : 2 \cdot 5 \cdot 13

130

130

divides by

2130 = 65 \cdot 2

= 2 \cdot 65

65

divides by

565 = 13 \cdot 5

= 2 \cdot 5 \cdot 13

2, 5, 13

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5 \cdot 13

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

The prime factors common to

130, 6

are

= 2

Factor out

2

from the numerator and the denominator

130 = 2 \cdot 65, 6 = 2 \cdot 3

= \frac{2 \cdot 65}{2 \cdot 3}

Cancel the common factor:

2

= \frac{65}{3}

\frac{65}{3} = 21

Remainder

2

\frac{65}{3}

Write the problem in long division format

3 \overline{∣ 65}

Divide

6

3

to get

2

Divide

6

3

to get

2

2 3 \overline{∣ 65}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 65} \underline{6}

Subtract

6

from

6

2 3 \overline{∣ 65} \underline{6} 0

Bring down the next number of the dividend

2 3 \overline{∣ 65} \underline{6} 05

2 3 \overline{∣ 65} \underline{6} 05

Divide

5

3

to get

1

Divide

5

3

to get

1

21 3 \overline{∣ 65} \underline{6} 05

Multiply the quotient digit

(1)

by the divisor

3

21 3 \overline{∣ 65} \underline{6} 05 \underline{3}

Subtract

3

from

5

21 3 \overline{∣ 65} \underline{6} 05 \underline{3} 2

21 3 \overline{∣ 65} \underline{6} 05 \underline{3} 2

The solution for Long Division of

\frac{65}{3}

21

with remainder of

2

21 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{65}{3} = 21 \frac{2}{3}

21 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is mixednumber 130/6 ?
The solution to mixednumber 130/6 is 21 2/3

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