What is dectofrac 1.45 ?

The solution to dectofrac 1.45 is 1 9/20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Convert to a Simplified Fraction 1.45

Solution

decimal to fraction

1.45

Solution

1 \frac{9}{20}

Solution steps

1.45

Rewrite as

= 1 + 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}

= 1 + \frac{9}{20}

= 1 \frac{9}{20}

Popular Examples

Convert to a Mixed Number 1/9 mixed number

\frac{1}{9}

Convert to a Percentage 77/100 convert

t o a p erce n t a g e 77/100

168÷14 long division

\frac{168}{14}

Convert to a Simplified Fraction 12.75 decimal to fraction

12.75

Convert to a Mixed Number 25/18 mixed number

\frac{25}{18}

Frequently Asked Questions (FAQ)

What is dectofrac 1.45 ?
The solution to dectofrac 1.45 is 1 9/20