What is dectofrac 4.72 ?

The solution to dectofrac 4.72 is 4 18/25

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Popular >

Convert to a Simplified Fraction 4.72

Solution

decimal to fraction

4.72

Solution

4 \frac{18}{25}

Solution steps

4.72

Rewrite as

= 4 + 0.72

Convert

0.72

to a fraction:

\frac{18}{25}

0.72

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{0.72 \cdot 100}{100}

= \frac{72}{100}

Reduce the fraction

\frac{72}{100} : \frac{18}{25}

\frac{72}{100}

Find a common factor of

72

and

100

in order to cancel it out

Greatest Common Divisor of

72, 100 : 4

72, 100

Greatest Common Divisor (GCD)

Prime factorization of

72 : 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3

72

72

divides by

272 = 36 \cdot 2

= 2 \cdot 36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

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

2, 3

are all prime numbers, therefore no further factorization is possible

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

72, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

72 = 4 \cdot 18, 100 = 4 \cdot 25

= \frac{4 \cdot 18}{4 \cdot 25}

Cancel the common factor:

4

= \frac{18}{25}

= \frac{18}{25}

= 4 + \frac{18}{25}

= 4 \frac{18}{25}

Popular Examples

Round to the Nearest Hundredth 0.82608695

ro u n d t o t h e n e a res t h u n d re d t h 0.82608695

Find the GCF 24 , 16 gcf

24, 16

Find the GCF 18 , 36 , 45 gcf

18, 36, 45

Find the GCF 12 , 30 , 42 gcf

12, 30, 42

Convert to a Simplified Fraction 0.33333 decimal to fraction

0.33333

Frequently Asked Questions (FAQ)

What is dectofrac 4.72 ?
The solution to dectofrac 4.72 is 4 18/25