What is dectofrac 0.76 ?

The solution to dectofrac 0.76 is 19/25

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Popular >

Convert to a Simplified Fraction 0.76

Solution

decimal to fraction

0.76

Solution

\frac{19}{25}

Solution steps

0.76

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{0.76 \cdot 100}{100}

= \frac{76}{100}

Reduce the fraction

\frac{76}{100} : \frac{19}{25}

\frac{76}{100}

Find a common factor of

76

and

100

in order to cancel it out

Greatest Common Divisor of

76, 100 : 4

76, 100

Greatest Common Divisor (GCD)

Prime factorization of

76 : 2 \cdot 2 \cdot 19

76

76

divides by

276 = 38 \cdot 2

= 2 \cdot 38

38

divides by

238 = 19 \cdot 2

= 2 \cdot 2 \cdot 19

2, 19

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 19

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

76, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

76 = 4 \cdot 19, 100 = 4 \cdot 25

= \frac{4 \cdot 19}{4 \cdot 25}

Cancel the common factor:

4

= \frac{19}{25}

= \frac{19}{25}

Popular Examples

Convert to a Mixed Number 4.5 mixed number

4.5

136/8 long division

\frac{136}{8}

Divide Using Long Division 28÷3 long division

\frac{28}{3}

Convert to a Mixed Number 26/9 mixed number

\frac{26}{9}

Add (-1/2)+1

(- 1/2) + 1

Frequently Asked Questions (FAQ)

What is dectofrac 0.76 ?
The solution to dectofrac 0.76 is 19/25