What is dectofrac 1.23 ?

The solution to dectofrac 1.23 is 1 23/100

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Convert to a Simplified Fraction 1.23

Solution

decimal to fraction

1.23

Solution

1 \frac{23}{100}

Solution steps

1.23

Rewrite as

= 1 + 0.23

Convert

0.23

to a fraction:

\frac{23}{100}

0.23

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{0.23 \cdot 100}{100}

= \frac{23}{100}

Reduce the fraction

\frac{23}{100} : \frac{23}{100}

\frac{23}{100}

Find a common factor of

23

and

100

in order to cancel it out

Greatest Common Divisor of

23, 100 : 1

23, 100

Greatest Common Divisor (GCD)

Prime factorization of

23 : 23

23

23

is a prime number, therefore no factorization is possible

= 23

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

No common factor for

23

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{23}{100}

= \frac{23}{100}

= 1 + \frac{23}{100}

= 1 \frac{23}{100}

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\frac{57}{5}

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t h e \frac{48}{35}

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5 \frac{5}{6}

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Frequently Asked Questions (FAQ)

What is dectofrac 1.23 ?
The solution to dectofrac 1.23 is 1 23/100