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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