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 =

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konasurfer1 konasurfer1 · Answer 1 · 2016-12-14T20:23:00+01:00

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

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ArianneHester ArianneHester · Answer 2 · 2019-02-15T10:18:37+01:00

Answer:

43/9

Step-by-step explanation:

The given fraction is

[tex]1\frac{4}{9}+3\frac{1}{3}[/tex]

Let us convert the mixed fraction into equivalent improper fraction.

[tex]1\frac{4}{9}=\frac{13}{9}[/tex]

And, the second fraction becomes

[tex]3\frac{1}{3}=\frac{10}{3}[/tex]

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.

[tex]\frac{13}{9}+\frac{10\times3}{3\times3}\\\\=\frac{13}{9}+\frac{30}{9}[/tex]

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

[tex]\frac{13+30}{9}\\\\=\frac{43}{9}[/tex]

Therefore, the simplified expression is 43/9