The solution to 2/3+1/4 is 11/12

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Popular >

simplify 2/3+1/4

Solution

simplify

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

Solution

\frac{11}{12}

Decimal Notation

0.91666 \dots

Solution steps

\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}

Apply the fraction rule:

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

= \frac{8 + 3}{12}

Add the numbers:

8 + 3 = 11

= \frac{11}{12}

Popular Examples

-12^2-3

- 1 2^{2} - 3

-3*0+5

- 3 \cdot 0 + 5

-10+5(-3-5)+2(-5(4+7))

- 10 + 5 (- 3 - 5) + 2 (- 5 (4 + 7))

simplify 2/3+2/4 simplify

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

20\div 2\times 3-15

20 \div 2 \times 3 - 15

Frequently Asked Questions (FAQ)

What is 2/3+1/4 ?
The solution to 2/3+1/4 is 11/12

simplify 2/3+1/4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/3+1/4 ?