5.2 Addition and subtraction of fractions with unlike denominators

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

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

$\frac{7}{\text{10}}-\frac{5}{8}$

$\frac{\text{15}}{\text{16}}+\frac{1}{2}-\frac{3}{4}$

$\frac{1}{\text{32}}-\frac{1}{\text{48}}$

A most basic rule of arithmetic states that two fractions may be added or subtracted conveniently only if they have .

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

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

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

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

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

$\frac{6}{7}-\frac{1}{4}$

$\frac{9}{\text{10}}-\frac{2}{5}$

$\frac{7}{9}-\frac{1}{4}$

$\frac{8}{\text{15}}-\frac{3}{\text{10}}$

$\frac{8}{\text{13}}-\frac{5}{\text{39}}$

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

$\frac{1}{\text{15}}+\frac{5}{\text{12}}$

$\frac{\text{13}}{\text{88}}-\frac{1}{4}$

$\frac{1}{9}-\frac{1}{\text{81}}$

$\frac{\text{19}}{\text{40}}+\frac{5}{\text{12}}$

$\frac{\text{25}}{\text{26}}-\frac{7}{\text{10}}$

$\frac{9}{\text{28}}-\frac{4}{\text{45}}$

$\frac{\text{22}}{\text{45}}-\frac{\text{16}}{\text{35}}$

$\frac{\text{56}}{\text{63}}+\frac{\text{22}}{\text{33}}$

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

$\frac{5}{\text{12}}-\frac{1}{\text{120}}+\frac{\text{19}}{\text{20}}$

$\frac{8}{3}-\frac{1}{4}+\frac{7}{\text{36}}$

$\frac{\text{11}}{9}-\frac{1}{7}+\frac{\text{16}}{\text{63}}$

$\frac{\text{12}}{5}-\frac{2}{3}+\frac{\text{17}}{\text{10}}$

$\frac{4}{9}+\frac{\text{13}}{\text{21}}-\frac{9}{\text{14}}$

$\frac{3}{4}-\frac{3}{\text{22}}+\frac{5}{\text{24}}$

$\frac{\text{25}}{\text{48}}-\frac{7}{\text{88}}+\frac{5}{\text{24}}$

$\frac{\text{27}}{\text{40}}+\frac{\text{47}}{\text{48}}-\frac{\text{119}}{\text{126}}$

$\frac{\text{41}}{\text{44}}-\frac{5}{\text{99}}-\frac{\text{11}}{\text{175}}$

$\frac{5}{\text{12}}+\frac{1}{\text{18}}+\frac{1}{\text{24}}$

$\frac{5}{9}+\frac{1}{6}+\frac{7}{\text{15}}$

$\frac{\text{21}}{\text{25}}+\frac{1}{6}+\frac{7}{\text{15}}$

$\frac{5}{\text{18}}-\frac{1}{\text{36}}+\frac{7}{9}$

$\frac{\text{11}}{\text{14}}-\frac{1}{\text{36}}-\frac{1}{\text{32}}$

$\frac{\text{21}}{\text{33}}+\frac{\text{12}}{\text{22}}+\frac{\text{15}}{\text{55}}$

$\frac{5}{\text{51}}+\frac{2}{\text{34}}+\frac{\text{11}}{\text{68}}$

$\frac{8}{7}-\frac{\text{16}}{\text{14}}+\frac{\text{19}}{\text{21}}$

$\frac{7}{\text{15}}+\frac{3}{\text{10}}-\frac{\text{34}}{\text{60}}$

$\frac{\text{14}}{\text{15}}-\frac{3}{\text{10}}-\frac{6}{\text{25}}+\frac{7}{\text{20}}$

$\frac{\text{11}}{6}-\frac{5}{\text{12}}+\frac{\text{17}}{\text{30}}+\frac{\text{25}}{\text{18}}$

$\frac{1}{9}+\frac{\text{22}}{\text{21}}-\frac{5}{\text{18}}-\frac{1}{\text{45}}$

$\frac{7}{\text{26}}+\frac{\text{28}}{\text{65}}-\frac{\text{51}}{\text{104}}+0$

A morning trip from San Francisco to Los Angeles took $\frac{\text{13}}{\text{12}}$ hours. The return trip took $\frac{\text{57}}{\text{60}}$ hours. How much longer did the morning trip take?

At the beginning of the week, Starlight Publishing Company's stock was selling for $\frac{\text{115}}{8}$ dollars per share. At the end of the week, analysts had noted that the stock had gone up $\frac{\text{11}}{4}$ dollars per share. What was the price of the stock, per share, at the end of the week?

A recipe for fruit punch calls for $\frac{\text{23}}{3}$ cups of pineapple juice, $\frac{1}{4}$ cup of lemon juice, $\frac{\text{15}}{2}$ cups of orange juice, 2 cups of sugar, 6 cups of water, and 8 cups of carbonated non-cola soft drink. How many cups of ingredients will be in the final mixture?

The side of a particular type of box measures $8\frac{3}{4}$ inches in length. Is it possible to place three such boxes next to each other on a shelf that is $\text{26}\frac{1}{5}$ inches in length? Why or why not?

Four resistors, $\frac{3}{8}$ ohm, $\frac{1}{4}$ ohm, $\frac{3}{5}$ ohm, and $\frac{7}{8}$ ohm, are connected in series in an electrical circuit. What is the total resistance in the circuit due to these resistors? ("In series" implies addition.)

A copper pipe has an inside diameter of $2\frac{3}{\text{16}}$ inches and an outside diameter of $2\frac{5}{\text{34}}$ inches. How thick is the pipe?

The probability of an event was originally thought to be $\frac{\text{15}}{\text{32}}$ . Additional information decreased the probability by $\frac{3}{\text{14}}$ . What is the updated probability?

( [link] ) Find the difference between 867 and 418.

( [link] ) Is 81,147 divisible by 3?

( [link] ) Find the LCM of 11, 15, and 20.

( [link] ) Find $\frac{3}{4}$ of $4\frac{2}{9}$ .

( [link] ) Find the value of $\frac{8}{\text{15}}-\frac{3}{\text{15}}+\frac{2}{\text{15}}$ .