What is tofraction 0.025 ?

The solution to tofraction 0.025 is 1/40

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 0.025

Solution

convert to fraction

0.025

Solution

\frac{1}{40}

Solution steps

0.025

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

There are

3

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

1000

= \frac{0.025 \cdot 1000}{1000}

= \frac{25}{1000}

Reduce the fraction

\frac{25}{1000} : \frac{1}{40}

\frac{25}{1000}

Find a common factor of

25

and

1000

in order to cancel it out

Greatest Common Divisor of

25, 1000 : 25

25, 1000

Greatest Common Divisor (GCD)

Prime factorization of

25 : 5 \cdot 5

25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5

Prime factorization of

1000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

1000

1000

divides by

21000 = 500 \cdot 2

= 2 \cdot 500

500

divides by

2500 = 250 \cdot 2

= 2 \cdot 2 \cdot 250

250

divides by

2250 = 125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

The prime factors common to

25, 1000

are

= 5 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 25

Factor out

25

from the numerator and the denominator

25 = 25 \cdot 1, 1000 = 25 \cdot 40

= \frac{25 \cdot 1}{25 \cdot 40}

Cancel the common factor:

25

= \frac{1}{40}

= \frac{1}{40}

Popular Examples

Find the GCF 81 , 99 gcf

81, 99

Evaluate 27/32

\frac{27}{32}

Convert to a Percentage 15/100 convert

t o a p erce n t a g e 15/100

Subtract 180-126 long subtraction

180 - 126

Find the GCF 9 15 gcf

9, 15

Frequently Asked Questions (FAQ)

What is tofraction 0.025 ?
The solution to tofraction 0.025 is 1/40