The solution to 1/5+2/3 is 13/15

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Popular >

simplify 1/5+2/3

Solution

simplify

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

Solution

\frac{13}{15}

Decimal Notation

0.86666 \dots

Solution steps

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

Least Common Multiplier of

5, 3 : 15

5, 3

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

5

3

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

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

15

For

\frac{1}{5} :

multiply the denominator and numerator by

3

\frac{1}{5} = \frac{1 \cdot 3}{5 \cdot 3} = \frac{3}{15}

For

\frac{2}{3} :

multiply the denominator and numerator by

5

\frac{2}{3} = \frac{2 \cdot 5}{3 \cdot 5} = \frac{10}{15}

= \frac{3}{15} + \frac{10}{15}

Apply the fraction rule:

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

= \frac{3 + 10}{15}

Add the numbers:

3 + 10 = 13

= \frac{13}{15}

Popular Examples

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1 - 3 (3 - 2)

-5+{-4-[5-6+(3-4)]+6}

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12-[4+(3-2)]+[12-(7-2)]

12 - [4 + (3 - 2)] + [12 - (7 - 2)]

12\div 2-4\div 2-42\div 7-20\div 4

12 \div 2 - 4 \div 2 - 42 \div 7 - 20 \div 4

2-(-2)^3+(-3)^0+2

2 - (- 2)^{3} + (- 3)^{0} + 2

Frequently Asked Questions (FAQ)

What is 1/5+2/3 ?
The solution to 1/5+2/3 is 13/15

simplify 1/5+2/3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/5+2/3 ?