What is dectofrac 0.46 ?

The solution to dectofrac 0.46 is 23/50

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Popular >

dectofrac 0.46

Solution

decimal to fraction

0.46

Solution

\frac{23}{50}

Solution steps

0.46

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{0.46 \cdot 100}{100}

= \frac{46}{100}

Reduce the fraction

\frac{46}{100} : \frac{23}{50}

\frac{46}{100}

Find a common factor of

46

and

100

in order to cancel it out

Greatest Common Divisor of

46, 100 : 2

46, 100

Greatest Common Divisor (GCD)

Prime factorization of

46 : 2 \cdot 23

46

46

divides by

246 = 23 \cdot 2

= 2 \cdot 23

2, 23

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 23

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

46, 100

are

= 2

Factor out

2

from the numerator and the denominator

46 = 2 \cdot 23, 100 = 2 \cdot 50

= \frac{2 \cdot 23}{2 \cdot 50}

Cancel the common factor:

2

= \frac{23}{50}

= \frac{23}{50}

Popular Examples

simplify 100/10 simplify

\frac{100}{10}

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13 \cdot 13 \cdot 13

longdivision 300/4 long division

\frac{300}{4}

longdivision (0.01)/2 long division

\frac{0.01}{2}

longdivision 108/6 long division

\frac{108}{6}

Frequently Asked Questions (FAQ)

What is dectofrac 0.46 ?
The solution to dectofrac 0.46 is 23/50