What is mixednumber 16/12 ?

The solution to mixednumber 16/12 is 1 1/3

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Popular >

Convert to a Mixed Number 16/12

Solution

mixed number

\frac{16}{12}

Solution

1 \frac{1}{3}

Solution steps

\frac{16}{12}

Reduce the fraction

\frac{16}{12} : \frac{4}{3}

\frac{16}{12}

Find a common factor of

16

and

12

in order to cancel it out

Greatest Common Divisor of

16, 12 : 4

16, 12

Greatest Common Divisor (GCD)

Prime factorization of

16 : 2 \cdot 2 \cdot 2 \cdot 2

16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2

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

16, 12

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

16 = 4 \cdot 4, 12 = 4 \cdot 3

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

Cancel the common factor:

4

= \frac{4}{3}

\frac{4}{3} = 1

Remainder

1

\frac{4}{3}

Write the problem in long division format

3 \overline{∣ 4}

Divide

4

3

to get

1

Divide

4

3

to get

1

1 3 \overline{∣ 4}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 4} \underline{3}

Subtract

3

from

4

1 3 \overline{∣ 4} \underline{3} 1

1 3 \overline{∣ 4} \underline{3} 1

The solution for Long Division of

\frac{4}{3}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4}{3} = 1 \frac{1}{3}

1 \frac{1}{3}

Popular Examples

Reduce the Fraction 54/90 reduce fraction

t h e \frac{54}{90}

Find the GCF 36 , 90 gcf

36, 90

Convert to a Simplified Fraction 3.16 decimal to fraction

3.16

Convert to a Simplified Fraction 0.22 decimal to fraction

0.22

Convert to a Mixed Number 51/2 mixed number

\frac{51}{2}

Frequently Asked Questions (FAQ)

What is mixednumber 16/12 ?
The solution to mixednumber 16/12 is 1 1/3