What is tofraction 0.857 ?

The solution to tofraction 0.857 is 857/1000

Convert to a Simplified Fraction 0.857

convert to fraction

0.857

\frac{857}{1000}

Decimal

0.857

Solution steps

0.857

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{0.857 \cdot 1000}{1000}

= \frac{857}{1000}

Reduce the fraction

\frac{857}{1000} : \frac{857}{1000}

\frac{857}{1000}

Find a common factor of

857

and

1000

in order to cancel it out

Greatest Common Divisor of

857, 1000 : 1

857, 1000

Greatest Common Divisor (GCD)

Prime factorization of

857 : 857

857

857

is a prime number, therefore no factorization is possible

= 857

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

No common factor for

857

and

1000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{857}{1000}

= \frac{857}{1000}