What is dectofrac 0.03 ?

The solution to dectofrac 0.03 is 3/100

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 0.03

decimal to fraction

0.03

\frac{3}{100}

Solution steps

0.03

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

There are

2

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

100

= \frac{0.03 \cdot 100}{100}

= \frac{3}{100}

Reduce the fraction

\frac{3}{100} : \frac{3}{100}

\frac{3}{100}

Find a common factor of

3

and

100

in order to cancel it out

Greatest Common Divisor of

3, 100 : 1

3, 100

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

No common factor for

3

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{3}{100}

= \frac{3}{100}

0.94

ro u n d t o t h e n e a res t h u n d re d t h 0.75

\frac{15}{28}

t h e \frac{40}{180}

t h e \frac{28}{53}