# Find #1/6+2/3#?

##### 3 Answers

#### Explanation:

Least Common Denominator of the two denominators

Hence

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Very detailed explanation

#### Explanation:

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This may sound obvious but you are adding the counts of 2 and 3.

What is not so obvious is that they are both of the same unit size.

Think again about

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The unit size is such that it takes 4 of what you are counting to make a whole. They are all the same unit size so you can directly add the counts of

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So we need to make both unit sizes the same

Multiply by 1 and you do not change the inherent value. However 1 comes in many forms.

multiply

We can now directly add the counts:

So we have:

If you cannot spot the lowest common multiple, one method that works every time is to cross multiply

Multiply the first fraction (top and bottom) by 3

Multiply the second fraction (top and bottom) by 6

we now have the fractions over the same denominator so simply add the numerators

cancel down by dividing by 3

Sometimes it is longer to do it this way but it works every time and you do not waste time looking for the LCM.