What is mixednumber 15/12 ?

The solution to mixednumber 15/12 is 1 1/4

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Popular >

Convert to a Mixed Number 15/12

Solution

mixed number

\frac{15}{12}

Solution

1 \frac{1}{4}

Solution steps

\frac{15}{12}

Reduce the fraction

\frac{15}{12} : \frac{5}{4}

\frac{15}{12}

Find a common factor of

15

and

12

in order to cancel it out

Greatest Common Divisor of

15, 12 : 3

15, 12

Greatest Common Divisor (GCD)

Prime factorization of

15 : 3 \cdot 5

15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5

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

15, 12

are

= 3

Factor out

3

from the numerator and the denominator

15 = 3 \cdot 5, 12 = 3 \cdot 4

= \frac{3 \cdot 5}{3 \cdot 4}

Cancel the common factor:

3

= \frac{5}{4}

\frac{5}{4} = 1

Remainder

1

\frac{5}{4}

Write the problem in long division format

4 \overline{∣ 5}

Divide

5

4

to get

1

Divide

5

4

to get

1

1 4 \overline{∣ 5}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 5} \underline{4}

Subtract

4

from

5

1 4 \overline{∣ 5} \underline{4} 1

1 4 \overline{∣ 5} \underline{4} 1

The solution for Long Division of

\frac{5}{4}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5}{4} = 1 \frac{1}{4}

1 \frac{1}{4}

Popular Examples

Convert to a Mixed Number 26/3 mixed number

\frac{26}{3}

162/6 long division

\frac{162}{6}

14*180 long multiplication

14 \cdot 180

Convert to a Simplified Fraction 11.1 decimal to fraction

11.1

Reduce the Fraction 77/36 reduce fraction

t h e \frac{77}{36}

Frequently Asked Questions (FAQ)

What is mixednumber 15/12 ?
The solution to mixednumber 15/12 is 1 1/4