What is mixednumber 11.63 ?

The solution to mixednumber 11.63 is 11 63/100

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Popular >

Convert to a Mixed Number 11.63

Solution

mixed number

11.63

Solution

11 \frac{63}{100}

Solution steps

11.63

Rewrite as

= 11 + 0.63

Convert

0.63

to a fraction:

\frac{63}{100}

0.63

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{0.63 \cdot 100}{100}

= \frac{63}{100}

Reduce the fraction

\frac{63}{100} : \frac{63}{100}

\frac{63}{100}

Find a common factor of

63

and

100

in order to cancel it out

Greatest Common Divisor of

63, 100 : 1

63, 100

Greatest Common Divisor (GCD)

Prime factorization of

63 : 3 \cdot 3 \cdot 7

63

63

divides by

363 = 21 \cdot 3

= 3 \cdot 21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 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

63

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{63}{100}

= \frac{63}{100}

= 11 + \frac{63}{100}

= 11 \frac{63}{100}

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\frac{31}{5}

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Frequently Asked Questions (FAQ)

What is mixednumber 11.63 ?
The solution to mixednumber 11.63 is 11 63/100