What is mixednumber 10.31 ?

The solution to mixednumber 10.31 is 10 31/100

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Popular >

Convert to a Mixed Number 10.31

Solution

mixed number

10.31

Solution

10 \frac{31}{100}

Solution steps

10.31

Rewrite as

= 10 + 0.31

Convert

0.31

to a fraction:

\frac{31}{100}

0.31

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{0.31 \cdot 100}{100}

= \frac{31}{100}

Reduce the fraction

\frac{31}{100} : \frac{31}{100}

\frac{31}{100}

Find a common factor of

31

and

100

in order to cancel it out

Greatest Common Divisor of

31, 100 : 1

31, 100

Greatest Common Divisor (GCD)

Prime factorization of

31 : 31

31

31

is a prime number, therefore no factorization is possible

= 31

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

31

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{31}{100}

= \frac{31}{100}

= 10 + \frac{31}{100}

= 10 \frac{31}{100}

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Frequently Asked Questions (FAQ)

What is mixednumber 10.31 ?
The solution to mixednumber 10.31 is 10 31/100