What is dectofrac 9.75 ?

The solution to dectofrac 9.75 is 9 3/4

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Popular >

Convert to a Simplified Fraction 9.75

Solution

decimal to fraction

9.75

Solution

9 \frac{3}{4}

Solution steps

9.75

Rewrite as

= 9 + 0.75

Convert

0.75

to a fraction:

\frac{3}{4}

0.75

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{0.75 \cdot 100}{100}

= \frac{75}{100}

Reduce the fraction

\frac{75}{100} : \frac{3}{4}

\frac{75}{100}

Find a common factor of

75

and

100

in order to cancel it out

Greatest Common Divisor of

75, 100 : 25

75, 100

Greatest Common Divisor (GCD)

Prime factorization of

75 : 3 \cdot 5 \cdot 5

75

75

divides by

375 = 25 \cdot 3

= 3 \cdot 25

25

divides by

525 = 5 \cdot 5

= 3 \cdot 5 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5 \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

75, 100

are

= 5 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 25

Factor out

25

from the numerator and the denominator

75 = 25 \cdot 3, 100 = 25 \cdot 4

= \frac{25 \cdot 3}{25 \cdot 4}

Cancel the common factor:

25

= \frac{3}{4}

= \frac{3}{4}

= 9 + \frac{3}{4}

= 9 \frac{3}{4}

Popular Examples

Convert to a Mixed Number 1.67 mixed number

1.67

54/8 long division

\frac{54}{8}

Convert the Slope to Percent Grade 9/14 convert

t h e s l o p e t o p erce n t g r a d e 9/14

Convert to a Simplified Fraction 3.33 decimal to fraction

3.33

Convert to a Percentage 91/100 convert

t o a p erce n t a g e 91/100

Frequently Asked Questions (FAQ)

What is dectofrac 9.75 ?
The solution to dectofrac 9.75 is 9 3/4