What is dectofrac 0.84 ?

The solution to dectofrac 0.84 is 21/25

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Popular >

Convert to a Simplified Fraction 0.84

Solution

decimal to fraction

0.84

Solution

\frac{21}{25}

Solution steps

0.84

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{0.84 \cdot 100}{100}

= \frac{84}{100}

Reduce the fraction

\frac{84}{100} : \frac{21}{25}

\frac{84}{100}

Find a common factor of

84

and

100

in order to cancel it out

Greatest Common Divisor of

84, 100 : 4

84, 100

Greatest Common Divisor (GCD)

Prime factorization of

84 : 2 \cdot 2 \cdot 3 \cdot 7

84

84

divides by

284 = 42 \cdot 2

= 2 \cdot 42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 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

84, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

84 = 4 \cdot 21, 100 = 4 \cdot 25

= \frac{4 \cdot 21}{4 \cdot 25}

Cancel the common factor:

4

= \frac{21}{25}

= \frac{21}{25}

Popular Examples

Reduce the Fraction 300/360 reduce fraction

t h e \frac{300}{360}

Convert to a Mixed Number 13/7 mixed number

\frac{13}{7}

Convert to a Decimal 14/3 long division

\frac{14}{3}

Multiply 17*12 long multiplication

17 \cdot 12

Multiply 128*4 long multiplication

128 \cdot 4

Frequently Asked Questions (FAQ)

What is dectofrac 0.84 ?
The solution to dectofrac 0.84 is 21/25