How do you simplify $9 \frac{9}{11} + 4 \frac{1}{2}$ $9 9/11 + 4 1/2$ ?

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How do you simplify $9 \frac{9}{11} + 4 \frac{1}{2}$ $9 9/11 + 4 1/2$ ?

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Answer 1 · 2017-07-07T23:04:38

See a solution process below:

Explanation:

First, we need to convert the mixed numbers to improper fractions:

$9 \frac{9}{11} + 4 \frac{1}{2} \Rightarrow (9 + \frac{9}{11}) + (4 + \frac{1}{2}) \Rightarrow$ $9 9/11 + 4 1/2 => (9 + 9/11) + (4 + 1/2) =>$

$((\frac{11}{11} \times 9 + \frac{9}{11}) + ((\frac{2}{2} \times 4) + \frac{1}{2}) \Rightarrow$ $((11/11 xx 9 + 9/11) + ((2/2 xx 4) + 1/2) =>$

$(\frac{99}{11} + \frac{9}{11}) + (\frac{8}{2} + \frac{1}{2}) \Rightarrow \frac{108}{11} + \frac{9}{2}$ $(99/11 + 9/11) + (8/2+ 1/2) => 108/11 + 9/2$

Next, we need to put the fractions over a common denominator so we can add the numerators:

$(\frac{2}{2} \times \frac{108}{11}) + (\frac{11}{11} \times \frac{9}{2}) \Rightarrow \frac{216}{22} + \frac{99}{22} \Rightarrow$ $(2/2 xx 108/11) + (11/11 xx 9/2) => 216/22 + 99/22 =>$

$\frac{315}{22}$ $315/22$

Now, we can convert this improper fraction to a mixed number:

$\frac{308 + 7}{22} \Rightarrow \frac{308}{22} + \frac{7}{22} \Rightarrow 14 + \frac{7}{22} \Rightarrow$ $(308 + 7)/22 => 308/22 + 7/22 => 14 + 7/22 =>$

$14 \frac{7}{22}$ $14 7/22$

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