What is dectofrac 28.5 ?

The solution to dectofrac 28.5 is 28 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Convert to a Simplified Fraction 28.5

Solution

decimal to fraction

28.5

Solution

28 \frac{1}{2}

Solution steps

28.5

Rewrite as

= 28 + 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}

= 28 + \frac{1}{2}

= 28 \frac{1}{2}

Popular Examples

Convert to a Percentage 47/60 convert

t o a p erce n t a g e 47/60

Convert to a Percentage 14/22 convert

t o a p erce n t a g e 14/22

Convert to a Decimal 11/8 long division

\frac{11}{8}

Convert to a Mixed Number 14.6 mixed number

14.6

Convert to a Mixed Number 68/7 mixed number

\frac{68}{7}

Frequently Asked Questions (FAQ)

What is dectofrac 28.5 ?
The solution to dectofrac 28.5 is 28 1/2