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Popular >

simplify 2/3+1/2

Solution

simplify

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

Solution

\frac{7}{6}

Decimal Notation

1.16666 \dots

Solution steps

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

Least Common Multiplier of

3, 2 : 6

3, 2

Least Common Multiplier (LCM)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

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

3

2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

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

6

For

\frac{2}{3} :

multiply the denominator and numerator by

2

\frac{2}{3} = \frac{2 \cdot 2}{3 \cdot 2} = \frac{4}{6}

For

\frac{1}{2} :

multiply the denominator and numerator by

3

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

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

Apply the fraction rule:

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

= \frac{4 + 3}{6}

Add the numbers:

4 + 3 = 7

= \frac{7}{6}

Popular Examples

15-1/2 (2)

15 - \frac{1}{2} (2)

2^3-3^3

2^{3} - 3^{3}

2/5*(3/4*2)

\frac{2}{5} \cdot (\frac{3}{4} \cdot 2)

5^2-5

5^{2} - 5

5^2-1

5^{2} - 1

Frequently Asked Questions (FAQ)

What is 2/3+1/2 ?
The solution to 2/3+1/2 is 7/6

simplify 2/3+1/2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/3+1/2 ?