Question

Add or subtract the following mixed numbers. First change each mixed number to an equivalent improper fraction. Then find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms. 1 4/9 + 3 1/3 =

Answer 1

1 (4/9) = 13/9... 3 1/3 = 10/3
13/9 + 10/3 you must first have equal denominators (bottom numbers)
13/9 + 30/9 = 43/9 or 4 7/9

Answer 2

43/9

Explanation:

The given fraction is

`1(4)/(9)+3(1)/(3)`

Let us convert the mixed fraction into equivalent improper fraction.

`1(4)/(9)=(13)/(9)`

And, the second fraction becomes

`3(1)/(3)=(10)/(3)`

Now, we find the LCD. The LCD is 9

Now, we make each denominator equal to LCD, which is 9. So we multiply the numerator and denominator of second fraction with 3.

`(13)/(9)+(10*3)/(3*3)\\\\=(13)/(9)+(30)/(9)`

Now, since the denominator is equal. Hence, we can directly add numerators.

`(13+30)/(9)\\\\=(43)/(9)`

Therefore, the simplified expression is 43/9