\[\frac{3}{8}+\frac{3}{9}\]

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Examples

Simplify

\frac{3}{9}

\frac{1}{3}

\frac{3}{8}+\frac{1}{3}

Find the Least Common Denominator (LCD) of

\frac{3}{8},\frac{1}{3}

. In other words, find the Least Common Multiple (LCM) of

8,3

Method 1: By Listing Multiples

List the multiples of each number.

Multiples of 8

: 8, 16, 24, ...

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM =

24

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 8

: 2, 2, 2

Prime Factors of 3

: 3

Find the union of these primes.

2,2,2,3

Multiply these numbers:

2\times 2\times 2\times 3=24

. This is the LCM.

LCM =

24

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LCD =

24

Make the denominators the same as the LCD.

\frac{3\times 3}{8\times 3}+\frac{1\times 8}{3\times 8}

Simplify. Denominators are now the same.

\frac{9}{24}+\frac{8}{24}

Join the denominators.

\frac{9+8}{24}

Simplify.

\frac{17}{24}

Done

Decimal Form: 0.708333

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