What is tofraction 0.48 ?

The solution to tofraction 0.48 is 12/25

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Popular >

Convert to a Simplified Fraction 0.48

Solution

convert to fraction

0.48

Solution

\frac{12}{25}

Solution steps

0.48

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{0.48 \cdot 100}{100}

= \frac{48}{100}

Reduce the fraction

\frac{48}{100} : \frac{12}{25}

\frac{48}{100}

Find a common factor of

48

and

100

in order to cancel it out

Greatest Common Divisor of

48, 100 : 4

48, 100

Greatest Common Divisor (GCD)

Prime factorization of

48 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

48

48

divides by

248 = 24 \cdot 2

= 2 \cdot 24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

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

48, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

48 = 4 \cdot 12, 100 = 4 \cdot 25

= \frac{4 \cdot 12}{4 \cdot 25}

Cancel the common factor:

4

= \frac{12}{25}

= \frac{12}{25}

Popular Examples

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\frac{1024}{64}

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15, 2, 10

Find the LCM 12 , 18 , 30 lcm

12, 18, 30

Evaluate 3.14*26 long multiplication

3.14 \cdot 26

Multiply 52*38 long multiplication

52 \cdot 38

Frequently Asked Questions (FAQ)

What is tofraction 0.48 ?
The solution to tofraction 0.48 is 12/25