What is dectofrac 1.05 ?

The solution to dectofrac 1.05 is 1 1/20

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Popular >

Convert to a Simplified Fraction 1.05

Solution

decimal to fraction

1.05

Solution

1 \frac{1}{20}

Solution steps

1.05

Rewrite as

= 1 + 0.05

Convert

0.05

to a fraction:

\frac{1}{20}

0.05

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{0.05 \cdot 100}{100}

= \frac{5}{100}

Reduce the fraction

\frac{5}{100} : \frac{1}{20}

\frac{5}{100}

Find a common factor of

5

and

100

in order to cancel it out

Greatest Common Divisor of

5, 100 : 5

5, 100

Greatest Common Divisor (GCD)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

5, 100

are

= 5

Factor out

5

from the numerator and the denominator

5 = 5 \cdot 1, 100 = 5 \cdot 20

= \frac{5 \cdot 1}{5 \cdot 20}

Cancel the common factor:

5

= \frac{1}{20}

= \frac{1}{20}

= 1 + \frac{1}{20}

= 1 \frac{1}{20}

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t h e \frac{9}{32}

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\frac{40}{9}

Frequently Asked Questions (FAQ)

What is dectofrac 1.05 ?
The solution to dectofrac 1.05 is 1 1/20