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Popular >

16/12

Solution

\frac{16}{12}

Solution

1 \frac{1}{3}

Solution steps

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

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\frac{( 6 ^{2} - 3 ^{3} )}{2}

14/7*5-3^2

\frac{14}{7} \cdot 5 - 3^{2}

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(- 45) - \frac{( - 49 )}{7} \cdot (- 6)

longdivision (0.5)/2 long division

\frac{0.5}{2}

longdivision 112/2 long division

\frac{112}{2}

Frequently Asked Questions (FAQ)

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

16/12

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 16/12 ?