What is dectofrac 11.2 ?

The solution to dectofrac 11.2 is 11 1/5

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Convert to a Simplified Fraction 11.2

Solution

decimal to fraction

11.2

Solution

11 \frac{1}{5}

Solution steps

11.2

Rewrite as

= 11 + 0.2

Convert

0.2

to a fraction:

\frac{1}{5}

0.2

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{0.2 \cdot 10}{10}

= \frac{2}{10}

Reduce the fraction

\frac{2}{10} : \frac{1}{5}

\frac{2}{10}

Find a common factor of

2

and

10

in order to cancel it out

Greatest Common Divisor of

2, 10 : 2

2, 10

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

2, 10

are

= 2

Factor out

2

from the numerator and the denominator

2 = 2 \cdot 1, 10 = 2 \cdot 5

= \frac{2 \cdot 1}{2 \cdot 5}

Cancel the common factor:

2

= \frac{1}{5}

= \frac{1}{5}

= 11 + \frac{1}{5}

= 11 \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is dectofrac 11.2 ?
The solution to dectofrac 11.2 is 11 1/5