What is tofraction 2.34 ?

The solution to tofraction 2.34 is 2 17/50

Convert to a Simplified Fraction 2.34

tofraction

2 \frac{17}{50}

Decimal

2.34

Solution steps

2.34

Rewrite as

= 2 + 0.34

Convert

0.34

to a fraction:

\frac{17}{50}

0.34

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{0.34 \cdot 100}{100}

= \frac{34}{100}

Reduce the fraction

\frac{34}{100} : \frac{17}{50}

\frac{34}{100}

Find a common factor of

34

and

100

in order to cancel it out

Greatest Common Divisor of

34, 100 : 2

34, 100

Greatest Common Divisor (GCD)

Prime factorization of

34 : 2 \cdot 17

34

34

divides by

234 = 17 \cdot 2

= 2 \cdot 17

2, 17

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 17

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

The prime factors common to

34, 100

are

= 2

Factor out

2

from the numerator and the denominator

34 = 2 \cdot 17, 100 = 2 \cdot 50

= \frac{2 \cdot 17}{2 \cdot 50}

Cancel the common factor:

2

= \frac{17}{50}

= \frac{17}{50}

= 2 + \frac{17}{50}

= 2 \frac{17}{50}