What is tofraction 4.24 ?

The solution to tofraction 4.24 is 4 6/25

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Popular Pre Algebra >

Convert to a Simplified Fraction 4.24

Solution

tofraction

Solution

4 \frac{6}{25}

Decimal

4.24

Solution steps

4.24

Rewrite as

= 4 + 0.24

Convert

0.24

to a fraction:

\frac{6}{25}

0.24

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{0.24 \cdot 100}{100}

= \frac{24}{100}

Reduce the fraction

\frac{24}{100} : \frac{6}{25}

\frac{24}{100}

Find a common factor of

24

and

100

in order to cancel it out

Greatest Common Divisor of

24, 100 : 4

24, 100

Greatest Common Divisor (GCD)

Prime factorization of

24 : 2 \cdot 2 \cdot 2 \cdot 3

24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 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 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

24, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

24 = 4 \cdot 6, 100 = 4 \cdot 25

= \frac{4 \cdot 6}{4 \cdot 25}

Cancel the common factor:

4

= \frac{6}{25}

= \frac{6}{25}

= 4 + \frac{6}{25}

= 4 \frac{6}{25}

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Frequently Asked Questions (FAQ)

What is tofraction 4.24 ?
The solution to tofraction 4.24 is 4 6/25

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