What is mixednumber 26/8 ?

The solution to mixednumber 26/8 is 3 1/4

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Popular >

Convert to a Mixed Number 26/8

Solution

mixed number

\frac{26}{8}

Solution

3 \frac{1}{4}

Solution steps

\frac{26}{8}

Reduce the fraction

\frac{26}{8} : \frac{13}{4}

\frac{26}{8}

Find a common factor of

26

and

8

in order to cancel it out

Greatest Common Divisor of

26, 8 : 2

26, 8

Greatest Common Divisor (GCD)

Prime factorization of

26 : 2 \cdot 13

26

26

divides by

226 = 13 \cdot 2

= 2 \cdot 13

2, 13

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 13

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

The prime factors common to

26, 8

are

= 2

Factor out

2

from the numerator and the denominator

26 = 2 \cdot 13, 8 = 2 \cdot 4

= \frac{2 \cdot 13}{2 \cdot 4}

Cancel the common factor:

2

= \frac{13}{4}

\frac{13}{4} = 3

Remainder

1

\frac{13}{4}

Write the problem in long division format

4 \overline{∣ 13}

Divide

13

4

to get

3

Divide

13

4

to get

3

3 4 \overline{∣ 13}

Multiply the quotient digit

(3)

by the divisor

4

3 4 \overline{∣ 13} \underline{12}

Subtract

12

from

13

3 4 \overline{∣ 13} \underline{12} 1

3 4 \overline{∣ 13} \underline{12} 1

The solution for Long Division of

\frac{13}{4}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{13}{4} = 3 \frac{1}{4}

3 \frac{1}{4}

Popular Examples

Convert to a Mixed Number 34/45 mixed number

\frac{34}{45}

Subtract 180-44 long subtraction

180 - 44

Find the GCF 9x+18 gcf

9 x + 18

Convert to a Simplified Fraction 1.45 convert to fraction

1.45

Convert to a Mixed Number 1/9 mixed number

\frac{1}{9}

Frequently Asked Questions (FAQ)

What is mixednumber 26/8 ?
The solution to mixednumber 26/8 is 3 1/4