What is dectofrac 5.25 ?

The solution to dectofrac 5.25 is 5 1/4

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Popular >

Convert to a Simplified Fraction 5.25

Solution

decimal to fraction

5.25

Solution

5 \frac{1}{4}

Solution steps

5.25

Rewrite as

= 5 + 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}

= 5 + \frac{1}{4}

= 5 \frac{1}{4}

Popular Examples

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90 - 15

-1/2-2

- 1/2 - 2

75÷6 long division

\frac{75}{6}

150/4 long division

\frac{150}{4}

30-24 long subtraction

30 - 24

Frequently Asked Questions (FAQ)

What is dectofrac 5.25 ?
The solution to dectofrac 5.25 is 5 1/4