What is tofraction 2.9375 ?

The solution to tofraction 2.9375 is 2 15/16

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 2.9375

Solution

tofraction

Solution

2 \frac{15}{16}

Decimal

2.9375

Solution steps

2.9375

Rewrite as

= 2 + 0.9375

Convert

0.9375

to a fraction:

\frac{15}{16}

0.9375

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{0.9375 \cdot 10000}{10000}

= \frac{9375}{10000}

Reduce the fraction

\frac{9375}{10000} : \frac{15}{16}

\frac{9375}{10000}

Find a common factor of

9375

and

10000

in order to cancel it out

Greatest Common Divisor of

9375, 10000 : 625

9375, 10000

Greatest Common Divisor (GCD)

Prime factorization of

9375 : 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

9375

9375

divides by

39375 = 3125 \cdot 3

= 3 \cdot 3125

3125

divides by

53125 = 625 \cdot 5

= 3 \cdot 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 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

9375, 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

9375 = 625 \cdot 15, 10000 = 625 \cdot 16

= \frac{625 \cdot 15}{625 \cdot 16}

Cancel the common factor:

625

= \frac{15}{16}

= \frac{15}{16}

= 2 + \frac{15}{16}

= 2 \frac{15}{16}

Popular Examples

Reduce the Fraction 42/58

Add 35+35

Evaluate 34/7

Convert to a Simplified Fraction 21.25

Convert to a Mixed Number 87/5

Frequently Asked Questions (FAQ)

What is tofraction 2.9375 ?
The solution to tofraction 2.9375 is 2 15/16

Convert to a Simplified Fraction 2.9375

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is tofraction 2.9375 ?

Popular topics