What is (3/4+3/6)-1/2 ?

The solution to (3/4+3/6)-1/2 is 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3/4+3/6)-1/2

Solution

(\frac{3}{4} + \frac{3}{6}) - \frac{1}{2}

Solution

\frac{3}{4}

Solution steps

(\frac{3}{4} + \frac{3}{6}) - \frac{1}{2}

\frac{3}{6} = \frac{1}{2}

Cancel the common factor:

3

\frac{1}{2}

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

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{3}{4} + \frac{1}{2} - \frac{1}{2} : \frac{3}{4}

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

\frac{3}{4} + \frac{1}{2} = \frac{5}{4}

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

Least Common Multiplier of

4, 2 : 4

4, 2

Least Common Multiplier (LCM)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

4

2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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

4

For

\frac{1}{2} :

multiply the denominator and numerator by

2

\frac{1}{2} = \frac{1 \cdot 2}{2 \cdot 2} = \frac{2}{4}

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

Since the denominators are equal, combine the fractions:

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

= \frac{3 + 2}{4}

Add the numbers:

3 + 2 = 5

= \frac{5}{4}

= \frac{5}{4} - \frac{1}{2}

\frac{5}{4} - \frac{1}{2} = \frac{3}{4}

\frac{5}{4} - \frac{1}{2}

Least Common Multiplier of

4, 2 : 4

4, 2

Least Common Multiplier (LCM)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

4

2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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

4

For

\frac{1}{2} :

multiply the denominator and numerator by

2

\frac{1}{2} = \frac{1 \cdot 2}{2 \cdot 2} = \frac{2}{4}

= \frac{5}{4} - \frac{2}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{5 - 2}{4}

Subtract the numbers:

5 - 2 = 3

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4}

Popular Examples

simplify 1/2+2/4 simplify

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

simplify 1/2+2/8 simplify

\frac{1}{2} + \frac{2}{8}

(11-3)^2

(11 - 3)^{2}

-14+9\times 12\div 36-15+13

- 14 + 9 \times 12 \div 36 - 15 + 13

5/6 (15)+15/6

\frac{5}{6} (15) + \frac{15}{6}

Frequently Asked Questions (FAQ)

What is (3/4+3/6)-1/2 ?
The solution to (3/4+3/6)-1/2 is 3/4