What is dectofrac 1.58 ?

The solution to dectofrac 1.58 is 1 29/50

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Popular >

Convert to a Simplified Fraction 1.58

Solution

decimal to fraction

1.58

Solution

1 \frac{29}{50}

Solution steps

1.58

Rewrite as

= 1 + 0.58

Convert

0.58

to a fraction:

\frac{29}{50}

0.58

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{0.58 \cdot 100}{100}

= \frac{58}{100}

Reduce the fraction

\frac{58}{100} : \frac{29}{50}

\frac{58}{100}

Find a common factor of

58

and

100

in order to cancel it out

Greatest Common Divisor of

58, 100 : 2

58, 100

Greatest Common Divisor (GCD)

Prime factorization of

58 : 2 \cdot 29

58

58

divides by

258 = 29 \cdot 2

= 2 \cdot 29

2, 29

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 29

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

58, 100

are

= 2

Factor out

2

from the numerator and the denominator

58 = 2 \cdot 29, 100 = 2 \cdot 50

= \frac{2 \cdot 29}{2 \cdot 50}

Cancel the common factor:

2

= \frac{29}{50}

= \frac{29}{50}

= 1 + \frac{29}{50}

= 1 \frac{29}{50}

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Frequently Asked Questions (FAQ)

What is dectofrac 1.58 ?
The solution to dectofrac 1.58 is 1 29/50