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Popular >

simplify 1/3+1/2

Solution

simplify

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

Solution

\frac{5}{6}

Decimal Notation

0.83333 \dots

Solution steps

\frac{1}{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{1}{3} :

multiply the denominator and numerator by

2

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

Apply the fraction rule:

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

= \frac{2 + 3}{6}

Add the numbers:

2 + 3 = 5

= \frac{5}{6}

Popular Examples

-3^2-5

- 3^{2} - 5

simplify 7/18-(19/32)/((2/9-17/48))simplify

\frac{7}{18} - \frac{\frac{19}{32}}{( \frac{2}{9} - \frac{17}{48} )}

4^2-7

4^{2} - 7

4^2+3

4^{2} + 3

2^2*2

2^{2} \cdot 2

Frequently Asked Questions (FAQ)

What is 1/3+1/2 ?
The solution to 1/3+1/2 is 5/6

simplify 1/3+1/2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/3+1/2 ?