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Popular >

42/12

Solution

\frac{42}{12}

Solution

3 \frac{1}{2}

Solution steps

Reduce the fraction

\frac{42}{12} : \frac{7}{2}

\frac{42}{12}

Find a common factor of

42

and

12

in order to cancel it out

Greatest Common Divisor of

42, 12 : 6

42, 12

Greatest Common Divisor (GCD)

Prime factorization of

42 : 2 \cdot 3 \cdot 7

42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 7

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

42, 12

are

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

Factor out

6

from the numerator and the denominator

42 = 6 \cdot 7, 12 = 6 \cdot 2

= \frac{6 \cdot 7}{6 \cdot 2}

Cancel the common factor:

6

= \frac{7}{2}

\frac{7}{2} = 3

Remainder

1

\frac{7}{2}

Write the problem in long division format

2 \overline{∣ 7}

Divide

7

2

to get

3

Divide

7

2

to get

3

3 2 \overline{∣ 7}

Multiply the quotient digit

(3)

by the divisor

2

3 2 \overline{∣ 7} \underline{6}

Subtract

6

from

7

3 2 \overline{∣ 7} \underline{6} 1

3 2 \overline{∣ 7} \underline{6} 1

The solution for Long Division of

\frac{7}{2}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

Popular Examples

longmult 256*4 long multiplication

256 \cdot 4

longmult 180*3 long multiplication

180 \cdot 3

-1-3-(-9)+(-5)

- 1 - 3 - (- 9) + (- 5)

40-32/8+5*(-2)

40 - \frac{32}{8} + 5 \cdot (- 2)

2*3^3

2 \cdot 3^{3}

Frequently Asked Questions (FAQ)

What is 42/12 ?
The solution to 42/12 is 3 1/2

42/12

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 42/12 ?