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 =
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:
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