What is mixednumber 22/8 ?

The solution to mixednumber 22/8 is 2 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Convert to a Mixed Number 22/8

Solution

mixed number

\frac{22}{8}

Solution

2 \frac{3}{4}

Solution steps

\frac{22}{8}

Reduce the fraction

\frac{22}{8} : \frac{11}{4}

\frac{22}{8}

Find a common factor of

22

and

8

in order to cancel it out

Greatest Common Divisor of

22, 8 : 2

22, 8

Greatest Common Divisor (GCD)

Prime factorization of

22 : 2 \cdot 11

22

22

divides by

222 = 11 \cdot 2

= 2 \cdot 11

2, 11

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 11

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

22, 8

are

= 2

Factor out

2

from the numerator and the denominator

22 = 2 \cdot 11, 8 = 2 \cdot 4

= \frac{2 \cdot 11}{2 \cdot 4}

Cancel the common factor:

2

= \frac{11}{4}

\frac{11}{4} = 2

Remainder

3

\frac{11}{4}

Write the problem in long division format

4 \overline{∣ 11}

Divide

11

4

to get

2

Divide

11

4

to get

2

2 4 \overline{∣ 11}

Multiply the quotient digit

(2)

by the divisor

4

2 4 \overline{∣ 11} \underline{8}

Subtract

8

from

11

2 4 \overline{∣ 11} \underline{8} 3

2 4 \overline{∣ 11} \underline{8} 3

The solution for Long Division of

\frac{11}{4}

2

with remainder of

3

2 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11}{4} = 2 \frac{3}{4}

2 \frac{3}{4}

Popular Examples

Convert to a Simplified Fraction 0.8125 decimal to fraction

0.8125

Convert to a Percentage 15/20 convert

t o a p erce n t a g e 15/20

Find the GCF 24 40 gcf

24, 40

Find the GCF 18 , 27 , 36 gcf

18, 27, 36

56/2 long division

\frac{56}{2}

Frequently Asked Questions (FAQ)

What is mixednumber 22/8 ?
The solution to mixednumber 22/8 is 2 3/4