What is dectofrac-7.5 ?

The solution to dectofrac-7.5 is -7 1/2

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Convert to a Simplified Fraction -7.5

Solution

decimal to fraction

- 7.5

Solution

- 7 \frac{1}{2}

Solution steps

- 7.5

Rewrite as

= - 7 - 0.5

Convert

0.5

to a fraction:

\frac{1}{2}

0.5

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{0.5 \cdot 10}{10}

= \frac{5}{10}

Reduce the fraction

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

\frac{5}{10}

Find a common factor of

5

and

10

in order to cancel it out

Greatest Common Divisor of

5, 10 : 5

5, 10

Greatest Common Divisor (GCD)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

5, 10

are

= 5

Factor out

5

from the numerator and the denominator

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

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

Cancel the common factor:

5

= \frac{1}{2}

= \frac{1}{2}

= - 7 - \frac{1}{2}

= - 7 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is dectofrac-7.5 ?
The solution to dectofrac-7.5 is -7 1/2