What is tofraction 0.3125 ?

The solution to tofraction 0.3125 is 5/16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

Convert to a Simplified Fraction 0.3125

Solution

tofraction

Solution

\frac{5}{16}

Decimal

0.3125

Solution steps

0.3125

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

There are

4

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

10000

= \frac{0.3125 \cdot 10000}{10000}

= \frac{3125}{10000}

Reduce the fraction

\frac{3125}{10000} : \frac{5}{16}

\frac{3125}{10000}

Find a common factor of

3125

and

10000

in order to cancel it out

Greatest Common Divisor of

3125, 10000 : 625

3125, 10000

Greatest Common Divisor (GCD)

Prime factorization of

3125 : 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

3125

3125

divides by

53125 = 625 \cdot 5

= 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 5 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

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

Prime factorization of

10000 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

10000

10000

divides by

210000 = 5000 \cdot 2

= 2 \cdot 5000

5000

divides by

25000 = 2500 \cdot 2

= 2 \cdot 2 \cdot 2500

2500

divides by

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 1250

1250

divides by

21250 = 625 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

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

25

divides by

525 = 5 \cdot 5

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

2, 5

are all prime numbers, therefore no further factorization is possible

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

The prime factors common to

3125, 10000

are

= 5 \cdot 5 \cdot 5 \cdot 5

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 5 = 625

= 625

Factor out

625

from the numerator and the denominator

3125 = 625 \cdot 5, 10000 = 625 \cdot 16

= \frac{625 \cdot 5}{625 \cdot 16}

Cancel the common factor:

625

= \frac{5}{16}

= \frac{5}{16}

Popular Examples

Evaluate 25/15

Evaluate 125/2

Evaluate 24/20

Convert to a Percentage 6/20

Convert to a Simplified Fraction 7.2

Frequently Asked Questions (FAQ)

What is tofraction 0.3125 ?
The solution to tofraction 0.3125 is 5/16

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator