What is mixednumber 8.21 ?

The solution to mixednumber 8.21 is 8 21/100

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Popular >

Convert to a Mixed Number 8.21

Solution

mixed number

8.21

Solution

8 \frac{21}{100}

Solution steps

8.21

Rewrite as

= 8 + 0.21

Convert

0.21

to a fraction:

\frac{21}{100}

0.21

Multiply and divide by 10 for every number after the decimal point.

There are

2

digits to the right of the decimal point, therefore multiply and divide by

100

= \frac{0.21 \cdot 100}{100}

= \frac{21}{100}

Reduce the fraction

\frac{21}{100} : \frac{21}{100}

\frac{21}{100}

Find a common factor of

21

and

100

in order to cancel it out

Greatest Common Divisor of

21, 100 : 1

21, 100

Greatest Common Divisor (GCD)

Prime factorization of

21 : 3 \cdot 7

21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 7

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

No common factor for

21

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{21}{100}

= \frac{21}{100}

= 8 + \frac{21}{100}

= 8 \frac{21}{100}

Popular Examples

Reduce the Fraction 28/16 reduce fraction

t h e \frac{28}{16}

Reduce the Fraction 56/24 reduce fraction

t h e \frac{56}{24}

Evaluate 96/64 long division

\frac{96}{64}

Evaluate 100-34 long subtraction

100 - 34

Multiply Using Long Multiplication 3.14*34 long multiplication

3.14 \cdot 34

Frequently Asked Questions (FAQ)

What is mixednumber 8.21 ?
The solution to mixednumber 8.21 is 8 21/100