# How do you add #3\frac { 7} { 10} + 4\frac { 1} { 15} + 2\frac { 2} { 13}#?

##### 2 Answers

#### Explanation:

Okay, so first you put all the fractions into a Common Denominator what this means is that all the bottom numbers have to be equal.

So let's add the first two numbers first

#3\frac { 7} { 10} + 4\frac { 1} { 15} #

What is a common denominator for

A brief overview of a common denominator: to find the common denominator list the multiples of

#15 (15 * 1 = 15)#

#30 (15 * 2 = 30)#

Therefore, we could conclude that since the multiples of

#10 * 1 = 10 #

#10 * 2 = 20 #

#10 * 3= 30 #

We found a common denominator:

So next we multiply each number the top and the bottom the same so if we multiple

#7 * 3 =21#

Same goes for the other number we multiplied

#1 * 2 = 2#

But we don't do anything to the whole number because it's not a part of the fraction! Therefore the numbers are going to look like

#3\frac { 21} { 30} + 4\frac { 2} { 30} #

Which equals this is all just addition which I shouldn't be explaining

#7\frac { 23} { 30#

Now we do the next part

#7\frac { 23} { 30} + 2\frac { 2} { 13} #

A common multiple of

Which sounds like a lot but is just a multiple of

So we do the same thing we did above.

#9\frac { 359} { 390} #

Which cannot be simplified!

Remember always simplify during tests or quizzes if you don't you will definite loose points; which is a frugal way to lose points after all that hard work.

#### Explanation:

Split the numbers so that we have:

The brackets are only there to highlight the grouping of numbers.

This gives:

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A fractions structure is:

You can not directly add the 'counts' (numerators) unless the

'size indicators' (denominators) are all the same.

The last digit of 195 is 5 so 195 can not have 10 as a whole number factor. So lets try changing the 5 into 0

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