The solution to 3/4+2/3 is 17/12

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Popular >

simplify 3/4+2/3

Solution

simplify

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

Solution

\frac{17}{12}

Decimal Notation

1.41666 \dots

Solution steps

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

Least Common Multiplier of

4, 3 : 12

4, 3

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

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

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

4

3

= 2 \cdot 2 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 3 = 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{3}{4} :

multiply the denominator and numerator by

3

\frac{3}{4} = \frac{3 \cdot 3}{4 \cdot 3} = \frac{9}{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}

= \frac{9}{12} + \frac{8}{12}

Apply the fraction rule:

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

= \frac{9 + 8}{12}

Add the numbers:

9 + 8 = 17

= \frac{17}{12}

Popular Examples

-1+2+3-6+4\div 2-1+1

- 1 + 2 + 3 - 6 + 4 \div 2 - 1 + 1

simplify 3/4+1/4 simplify

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

simplify 3/4+1/2 simplify

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

(11^2+12^2)/((2+3))

\frac{1 1 ^{2} + 1 2 ^{2}}{( 2 + 3 )}

2+(2+5-7)

2 + (2 + 5 - 7)

Frequently Asked Questions (FAQ)

What is 3/4+2/3 ?
The solution to 3/4+2/3 is 17/12

simplify 3/4+2/3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3/4+2/3 ?