What is dectofrac-11.8 ?

The solution to dectofrac-11.8 is -11 4/5

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Convert to a Simplified Fraction -11.8

Solution

decimal to fraction

- 11.8

Solution

- 11 \frac{4}{5}

Solution steps

- 11.8

Rewrite as

= - 11 - 0.8

Convert

0.8

to a fraction:

\frac{4}{5}

0.8

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{0.8 \cdot 10}{10}

= \frac{8}{10}

Reduce the fraction

\frac{8}{10} : \frac{4}{5}

\frac{8}{10}

Find a common factor of

8

and

10

in order to cancel it out

Greatest Common Divisor of

8, 10 : 2

8, 10

Greatest Common Divisor (GCD)

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 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

8, 10

are

= 2

Factor out

2

from the numerator and the denominator

8 = 2 \cdot 4, 10 = 2 \cdot 5

= \frac{2 \cdot 4}{2 \cdot 5}

Cancel the common factor:

2

= \frac{4}{5}

= \frac{4}{5}

= - 11 - \frac{4}{5}

= - 11 \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is dectofrac-11.8 ?
The solution to dectofrac-11.8 is -11 4/5