What is tofraction 4.35 ?

The solution to tofraction 4.35 is 4 7/20

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Popular >

Convert to a Simplified Fraction 4.35

Solution

convert to fraction

4.35

Solution

4 \frac{7}{20}

Solution steps

4.35

Rewrite as

= 4 + 0.35

Convert

0.35

to a fraction:

\frac{7}{20}

0.35

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{0.35 \cdot 100}{100}

= \frac{35}{100}

Reduce the fraction

\frac{35}{100} : \frac{7}{20}

\frac{35}{100}

Find a common factor of

35

and

100

in order to cancel it out

Greatest Common Divisor of

35, 100 : 5

35, 100

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

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

35, 100

are

= 5

Factor out

5

from the numerator and the denominator

35 = 5 \cdot 7, 100 = 5 \cdot 20

= \frac{5 \cdot 7}{5 \cdot 20}

Cancel the common factor:

5

= \frac{7}{20}

= \frac{7}{20}

= 4 + \frac{7}{20}

= 4 \frac{7}{20}

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\frac{140}{7}

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t h e \frac{64}{36}

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\frac{56}{6}

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ro u n d t o t h e n e a res t h u n d re d t h 37.68

Frequently Asked Questions (FAQ)

What is tofraction 4.35 ?
The solution to tofraction 4.35 is 4 7/20