5.3 Addition and subtraction of mixed numbers

$1\frac{5}{9}+3\frac{2}{9}$

$\text{10}\frac{3}{4}-2\frac{1}{2}$

$2\frac{7}{8}+5\frac{1}{4}$

$8\frac{3}{5}-\frac{3}{\text{10}}$

$\text{16}+2\frac{9}{\text{16}}$

$3\frac{1}{8}+4\frac{3}{8}$

$5\frac{1}{3}+6\frac{1}{3}$

$\text{10}\frac{5}{\text{12}}+2\frac{1}{\text{12}}$

$\text{15}\frac{1}{5}-\text{11}\frac{3}{5}$

$9\frac{3}{\text{11}}+\text{12}\frac{3}{\text{11}}$

$1\frac{1}{6}+3\frac{2}{6}+8\frac{1}{6}$

$5\frac{3}{8}+1\frac{1}{8}-2\frac{5}{8}$

$\frac{3}{5}+5\frac{1}{5}$

$2\frac{2}{9}-\frac{5}{9}$

$6+\text{11}\frac{2}{3}$

$\text{17}-8\frac{3}{\text{14}}$

$5\frac{1}{3}+2\frac{1}{4}$

$6\frac{2}{7}-1\frac{1}{3}$

$8\frac{2}{5}+4\frac{1}{\text{10}}$

$1\frac{1}{3}+\text{12}\frac{3}{8}$

$3\frac{1}{4}+1\frac{1}{3}-2\frac{1}{2}$

$4\frac{3}{4}-3\frac{5}{6}+1\frac{2}{3}$

$3\frac{1}{\text{12}}+4\frac{1}{3}+1\frac{1}{4}$

$5\frac{1}{\text{15}}+8\frac{3}{\text{10}}-5\frac{4}{5}$

$7\frac{1}{3}+8\frac{5}{6}-2\frac{1}{4}$

$\text{19}\frac{\text{20}}{\text{21}}+\text{42}\frac{6}{7}-\frac{5}{\text{14}}+\text{12}\frac{1}{7}$

$\frac{1}{\text{16}}+4\frac{3}{4}+\text{10}\frac{3}{8}-9$

$\text{11}-\frac{2}{9}+\text{10}\frac{1}{3}-\frac{2}{3}-5\frac{1}{6}+6\frac{1}{\text{18}}$

$\frac{5}{2}+2\frac{1}{6}+\text{11}\frac{1}{3}-\frac{\text{11}}{6}$

$1\frac{1}{8}+\frac{9}{4}-\frac{1}{\text{16}}-\frac{1}{\text{32}}+\frac{\text{19}}{8}$

$\text{22}\frac{3}{8}-\text{16}\frac{1}{7}$

$\text{15}\frac{4}{9}+4\frac{9}{\text{16}}$

$4\frac{\text{17}}{\text{88}}+5\frac{9}{\text{110}}$

$6\frac{\text{11}}{\text{12}}+\frac{2}{3}$

$8\frac{9}{\text{16}}-\frac{7}{9}$

$5\frac{2}{\text{11}}-\frac{1}{\text{12}}$

$\text{18}\frac{\text{15}}{\text{16}}-\frac{\text{33}}{\text{34}}$

$1\frac{\text{89}}{\text{112}}-\frac{\text{21}}{\text{56}}$

$\text{11}\frac{\text{11}}{\text{24}}-7\frac{\text{13}}{\text{18}}$

$5\frac{\text{27}}{\text{84}}-3\frac{5}{\text{42}}+1\frac{1}{\text{21}}$

$\text{16}\frac{1}{\text{48}}-\text{16}\frac{1}{\text{96}}+\frac{1}{\text{144}}$

A man pours $2\frac{5}{8}$ gallons of paint from a bucket into a tray. After he finishes pouring, there are $1\frac{1}{4}$ gallons of paint left in his bucket. How much paint did the man pour into the tray?

A particular computer stock opened at $\text{37}\frac{3}{8}$ and closed at $\text{38}\frac{1}{4}$ . What was the net gain for this stock?

A particular diet program claims that $4\frac{3}{\text{16}}$ pounds can be lost the first month, $3\frac{1}{4}$ pounds can be lost the second month, and $1\frac{1}{2}$ pounds can be lost the third month. How many pounds does this diet program claim a person can lose over a 3-month period?

If a person who weighs $\text{145}\frac{3}{4}$ pounds goes on the diet program described in the problem above, how much would he weigh at the end of 3 months?

If the diet program described in the problem above makes the additional claim that from the fourth month on, a person will lose $1\frac{1}{8}$ pounds a month, how much will a person who begins the program weighing $\text{208}\frac{3}{4}$ pounds weight after 8 months?

( [link] ) Use exponents to write $4\cdot 4\cdot 4$ .

( [link] ) Find the greatest common factor of 14 and 20.

( [link] ) Convert $\frac{\text{16}}{5}$ to a mixed number.

( [link] ) Find the sum. $\frac{4}{9}+\frac{1}{9}+\frac{2}{9}$ .

( [link] ) Find the difference. $\frac{\text{15}}{\text{26}}-\frac{3}{\text{10}}$ .