What is dectofrac 11.25 ?

The solution to dectofrac 11.25 is 11 1/4

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Popular >

Convert to a Simplified Fraction 11.25

Solution

decimal to fraction

11.25

Solution

11 \frac{1}{4}

Solution steps

11.25

Rewrite as

= 11 + 0.25

Convert

0.25

to a fraction:

\frac{1}{4}

0.25

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{0.25 \cdot 100}{100}

= \frac{25}{100}

Reduce the fraction

\frac{25}{100} : \frac{1}{4}

\frac{25}{100}

Find a common factor of

25

and

100

in order to cancel it out

Greatest Common Divisor of

25, 100 : 25

25, 100

Greatest Common Divisor (GCD)

Prime factorization of

25 : 5 \cdot 5

25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5

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

The prime factors common to

25, 100

are

= 5 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 25

Factor out

25

from the numerator and the denominator

25 = 25 \cdot 1, 100 = 25 \cdot 4

= \frac{25 \cdot 1}{25 \cdot 4}

Cancel the common factor:

25

= \frac{1}{4}

= \frac{1}{4}

= 11 + \frac{1}{4}

= 11 \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is dectofrac 11.25 ?
The solution to dectofrac 11.25 is 11 1/4