What is dectofrac 0.42 ?

The solution to dectofrac 0.42 is 21/50

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Popular >

Convert to a Simplified Fraction 0.42

Solution

decimal to fraction

0.42

Solution

\frac{21}{50}

Solution steps

0.42

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{0.42 \cdot 100}{100}

= \frac{42}{100}

Reduce the fraction

\frac{42}{100} : \frac{21}{50}

\frac{42}{100}

Find a common factor of

42

and

100

in order to cancel it out

Greatest Common Divisor of

42, 100 : 2

42, 100

Greatest Common Divisor (GCD)

Prime factorization of

42 : 2 \cdot 3 \cdot 7

42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 7

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

42, 100

are

= 2

Factor out

2

from the numerator and the denominator

42 = 2 \cdot 21, 100 = 2 \cdot 50

= \frac{2 \cdot 21}{2 \cdot 50}

Cancel the common factor:

2

= \frac{21}{50}

= \frac{21}{50}

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\frac{30000}{12}

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2 \frac{1}{5}

Frequently Asked Questions (FAQ)

What is dectofrac 0.42 ?
The solution to dectofrac 0.42 is 21/50