What is tofraction-4.45 ?

The solution to tofraction-4.45 is -4 9/20

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Popular >

Convert to a Simplified Fraction -4.45

Solution

convert to fraction

- 4.45

Solution

- 4 \frac{9}{20}

Solution steps

- 4.45

Rewrite as

= - 4 - 0.45

Convert

0.45

to a fraction:

\frac{9}{20}

0.45

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{0.45 \cdot 100}{100}

= \frac{45}{100}

Reduce the fraction

\frac{45}{100} : \frac{9}{20}

\frac{45}{100}

Find a common factor of

45

and

100

in order to cancel it out

Greatest Common Divisor of

45, 100 : 5

45, 100

Greatest Common Divisor (GCD)

Prime factorization of

45 : 3 \cdot 3 \cdot 5

45

45

divides by

345 = 15 \cdot 3

= 3 \cdot 15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 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

45, 100

are

= 5

Factor out

5

from the numerator and the denominator

45 = 5 \cdot 9, 100 = 5 \cdot 20

= \frac{5 \cdot 9}{5 \cdot 20}

Cancel the common factor:

5

= \frac{9}{20}

= \frac{9}{20}

= - 4 - \frac{9}{20}

= - 4 \frac{9}{20}

Popular Examples

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\frac{9}{8}

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\frac{64}{27}

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ro u n d t o t h e n e a res t t e n t h 14.6

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\frac{52}{2}

Reduce the Fraction 135/180 reduce fraction

t h e \frac{135}{180}

Frequently Asked Questions (FAQ)

What is tofraction-4.45 ?
The solution to tofraction-4.45 is -4 9/20