What is dectofrac 3.85 ?

The solution to dectofrac 3.85 is 3 17/20

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Popular >

Convert to a Simplified Fraction 3.85

Solution

decimal to fraction

3.85

Solution

3 \frac{17}{20}

Solution steps

3.85

Rewrite as

= 3 + 0.85

Convert

0.85

to a fraction:

\frac{17}{20}

0.85

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{0.85 \cdot 100}{100}

= \frac{85}{100}

Reduce the fraction

\frac{85}{100} : \frac{17}{20}

\frac{85}{100}

Find a common factor of

85

and

100

in order to cancel it out

Greatest Common Divisor of

85, 100 : 5

85, 100

Greatest Common Divisor (GCD)

Prime factorization of

85 : 5 \cdot 17

85

85

divides by

585 = 17 \cdot 5

= 5 \cdot 17

5, 17

are all prime numbers, therefore no further factorization is possible

= 5 \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

85, 100

are

= 5

Factor out

5

from the numerator and the denominator

85 = 5 \cdot 17, 100 = 5 \cdot 20

= \frac{5 \cdot 17}{5 \cdot 20}

Cancel the common factor:

5

= \frac{17}{20}

= \frac{17}{20}

= 3 + \frac{17}{20}

= 3 \frac{17}{20}

Popular Examples

Convert to an Improper Fraction 0.08 improper fraction

0.08

Convert to a Mixed Number 56/3 mixed number

\frac{56}{3}

Convert the Slope to Percent Grade 18÷30 convert

t h e s l o p e t o p erce n t g r a d e 18 \div 30

Convert to a Percentage 0.524 convert

t o a p erce n t a g e 0.524

Convert to a Decimal 14/5 long division

\frac{14}{5}

Frequently Asked Questions (FAQ)

What is dectofrac 3.85 ?
The solution to dectofrac 3.85 is 3 17/20