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Popular >

18/12

Solution

\frac{18}{12}

Solution

1 \frac{1}{2}

Solution steps

Reduce the fraction

\frac{18}{12} : \frac{3}{2}

\frac{18}{12}

Find a common factor of

18

and

12

in order to cancel it out

Greatest Common Divisor of

18, 12 : 6

18, 12

Greatest Common Divisor (GCD)

Prime factorization of

18 : 2 \cdot 3 \cdot 3

18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3

The prime factors common to

18, 12

are

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

Factor out

6

from the numerator and the denominator

18 = 6 \cdot 3, 12 = 6 \cdot 2

= \frac{6 \cdot 3}{6 \cdot 2}

Cancel the common factor:

6

= \frac{3}{2}

\frac{3}{2} = 1

Remainder

1

\frac{3}{2}

Write the problem in long division format

2 \overline{∣ 3}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 3}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 3} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 3} \underline{2} 1

1 2 \overline{∣ 3} \underline{2} 1

The solution for Long Division of

\frac{3}{2}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3}{2} = 1 \frac{1}{2}

= 1 \frac{1}{2}

Popular Examples

gcd 12,20 gcf

12, 20

14+(-9)+(-9)

14 + (- 9) + (- 9)

-2+(-3)+4-(-3)-5

- 2 + (- 3) + 4 - (- 3) - 5

dectofrac 4.5 decimal to fraction

4.5

dectofrac 0.00002 decimal to fraction

0.00002

Frequently Asked Questions (FAQ)

What is 18/12 ?
The solution to 18/12 is 1 1/2

18/12

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 18/12 ?