What is dectofrac 0.035 ?

The solution to dectofrac 0.035 is 7/200

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Popular >

Convert to a Simplified Fraction 0.035

Solution

decimal to fraction

0.035

Solution

\frac{7}{200}

Solution steps

0.035

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{0.035 \cdot 1000}{1000}

= \frac{35}{1000}

Reduce the fraction

\frac{35}{1000} : \frac{7}{200}

\frac{35}{1000}

Find a common factor of

35

and

1000

in order to cancel it out

Greatest Common Divisor of

35, 1000 : 5

35, 1000

Greatest Common Divisor (GCD)

Prime factorization of

35 : 5 \cdot 7

35

35

divides by

535 = 7 \cdot 5

= 5 \cdot 7

5, 7

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 7

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

The prime factors common to

35, 1000

are

= 5

Factor out

5

from the numerator and the denominator

35 = 5 \cdot 7, 1000 = 5 \cdot 200

= \frac{5 \cdot 7}{5 \cdot 200}

Cancel the common factor:

5

= \frac{7}{200}

= \frac{7}{200}

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(5/6) / (7/10)

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\frac{15}{2}

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\frac{32}{45}

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9, 6

Multiply 1.5*8 long multiplication

1.5 \cdot 8

Frequently Asked Questions (FAQ)

What is dectofrac 0.035 ?
The solution to dectofrac 0.035 is 7/200