4/3+7/10=?

40/30 + 21/30 = 61/30 = 2 1/30

Solution:

First convert the terms from improper fraction to mixed fraction, ie

4/3+7/10= 1 1/3 + 7/10

= 1 and [ (10 +21)/ 30 ]

= 1 and 31/30 = 2 and 1/30

(QED)

In order to add these, the denominator has to be the same. Here, the least common denominator is 30.

Multiply the denominator of 4/3 by 10 to get 30. Whatever you do to the bottom you must do to the top or it will be a different number. So 4 must also be multiplied by 10 to become 40. Thus 4/3 becomes 40/30.

Now we must make the denominator of 7/10 the same as the first. So multiply the denominator by 3, and do the same to the numerator. So 7/10 becomes 21/30.

Now we can add the two equations:
4/3 + 7/10
= 40/30 + 21/30
= 61/30

And that's it.

4/3 + 7/10
= 40/30 + 21/30
= 61/30
= 2 1/30

Find the common denominator. The common denominator is 30. That is easily found by multiplying the two denominators.

Whatever you do to one part of a fraction must be done to the other part. For example if you multiply the denominator by 10 then the numerator must also be multiplied by 10.

4/3 + 7/10 equals 40/30 + 21/30 equals 61/30

61/30 can be simplified by factoring out a two on the top (numerator) and bottom (denominator)

First convert it into 60/30+ 1/30 which equals 2 1/30 as your final answer