What is dectofrac 4.6 ?

The solution to dectofrac 4.6 is 4 3/5

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Popular >

Convert to a Simplified Fraction 4.6

Solution

decimal to fraction

4.6

Solution

4 \frac{3}{5}

Solution steps

4.6

Rewrite as

= 4 + 0.6

Convert

0.6

to a fraction:

\frac{3}{5}

0.6

Multiply and divide by 10 for every number after the decimal point

There is

1

digit to the right of the decimal point, therefore multiply and divide by

10

= \frac{0.6 \cdot 10}{10}

= \frac{6}{10}

Reduce the fraction

\frac{6}{10} : \frac{3}{5}

\frac{6}{10}

Find a common factor of

6

and

10

in order to cancel it out

Greatest Common Divisor of

6, 10 : 2

6, 10

Greatest Common Divisor (GCD)

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

The prime factors common to

6, 10

are

= 2

Factor out

2

from the numerator and the denominator

6 = 2 \cdot 3, 10 = 2 \cdot 5

= \frac{2 \cdot 3}{2 \cdot 5}

Cancel the common factor:

2

= \frac{3}{5}

= \frac{3}{5}

= 4 + \frac{3}{5}

= 4 \frac{3}{5}

Popular Examples

Convert to a Simplified Fraction 9.5 decimal to fraction

9.5

70÷12 long division

\frac{70}{12}

120*2 long multiplication

120 \cdot 2

Subtract 144-81 long subtraction

144 - 81

Convert to a Percentage 49/50 convert

t o a p erce n t a g e 49/50

Frequently Asked Questions (FAQ)

What is dectofrac 4.6 ?
The solution to dectofrac 4.6 is 4 3/5