What is 4\div 6+3\div 12 ?

The solution to 4\div 6+3\div 12 is 11/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4\div 6+3\div 12

Solution

4 \div 6 + 3 \div 12

Solution

\frac{11}{12}

Solution steps

4 \div 6 + 3 \div 12

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 \div 6 : \frac{4}{6}

4 \div 6

4 \div 6 = \frac{4}{6}

= \frac{4}{6}

= \frac{4}{6} + 3 \div 12

Multiply and divide (left to right)

3 \div 12 : \frac{3}{12}

3 \div 12

3 \div 12 = \frac{3}{12}

= \frac{3}{12}

= \frac{4}{6} + \frac{3}{12}

Add and subtract (left to right)

\frac{4}{6} + \frac{3}{12} : \frac{11}{12}

\frac{4}{6} + \frac{3}{12}

\frac{4}{6} + \frac{3}{12} = \frac{11}{12}

\frac{4}{6} + \frac{3}{12}

Cancel

\frac{4}{6} : \frac{2}{3}

\frac{4}{6}

Cancel the common factor:

2

= \frac{2}{3}

= \frac{2}{3} + \frac{3}{12}

Cancel

\frac{3}{12} : \frac{1}{4}

\frac{3}{12}

Cancel the common factor:

3

= \frac{1}{4}

= \frac{2}{3} + \frac{1}{4}

Least Common Multiplier of

3, 4 : 12

3, 4

Least Common Multiplier (LCM)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Multiply each factor the greatest number of times it occurs in either

3

4

= 3 \cdot 2 \cdot 2

Multiply the numbers:

3 \cdot 2 \cdot 2 = 12

= 12

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

12

For

\frac{2}{3} :

multiply the denominator and numerator by

4

\frac{2}{3} = \frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12}

For

\frac{1}{4} :

multiply the denominator and numerator by

3

\frac{1}{4} = \frac{1 \cdot 3}{4 \cdot 3} = \frac{3}{12}

= \frac{8}{12} + \frac{3}{12}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{8 + 3}{12}

Add the numbers:

8 + 3 = 11

= \frac{11}{12}

= \frac{11}{12}

= \frac{11}{12}

Popular Examples

2-3(8)

2 - 3 (8)

5(-9)^2

5 (- 9)^{2}

-3*(-2)^2

- 3 \cdot (- 2)^{2}

-2^5\div 2^3

- 2^{5} \div 2^{3}

-2(0)-4

- 2 (0) - 4

Frequently Asked Questions (FAQ)

What is 4\div 6+3\div 12 ?
The solution to 4\div 6+3\div 12 is 11/12