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

Answer:

43/9

Step-by-step explanation:

The given fraction is

$1\frac{4}{9}+3\frac{1}{3}$

Let us convert the mixed fraction into equivalent improper fraction.

$1\frac{4}{9}=\frac{13}{9}$

And, the second fraction becomes

$3\frac{1}{3}=\frac{10}{3}$

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.

$\frac{13}{9}+\frac{10\times3}{3\times3}\\\\=\frac{13}{9}+\frac{30}{9}$

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

$\frac{13+30}{9}\\\\=\frac{43}{9}$

Therefore, the simplified expression is 43/9

Answer 2

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