Adding and Subtracting Fractions with Unlike Denominators — Process
Read this topicExplanations 3
- To subtract with unlike denominators, equalize the denominators, then subtract. Saying that two fractions have unlike denominators is the same as saying that they have different…
By Zora Gilbert, Alex Federspiel, Victor Wang, Jonathan Heller, Joshua Siktar
- Adding and Subtracting Fractions Fractions are a pain in the butt to add or subtract. They're superficial and picky. They only want to combine with other fractions that have the…
By Alex Federspiel, Jonathan Heller, Caroline K, Joshua Siktar
- (Video) Adding and Subtracting Fractions / Mixed Numbers by PatrickJMT This video by PatrickJMT covers adding and subtracting fractions with unlike denominators. Summary\large{\…
By Jonathan Heller, Alex Federspiel, Caroline K, Joshua Siktar
Problems 78
- Compute 112+56\frac{1}{12}+\frac{5}{6}121+65 as a fraction in simplified form.
- What fraction is halfway between 12\frac1221 and 14\frac1441 on the number line?
- Evaluate the sum of fractions 716+512.\frac{7}{16}+\frac{5}{12}.167+125.
- Add using the least common denominator, and simplify your final answer if possible. 514+310\frac{5}{14}+\frac{3}{10}145+103
- 58−718=?\frac{5}{8}-\frac{7}{18} = ?85−187=?
- 74+85=?\frac{7}{4}+\frac{8}{5} ={?}47+58=?
- 98−56=?\frac{9}{8}-\frac{5}{6} ={?}89−65=?
- Simplify 45−47\frac{4}{5}-\frac{4}{7}54−74
- What is 12+13+17\frac{1}{2}+\frac{1}{3}+\frac{1}{7}21+31+71
- What is 312+56\frac{3}{12}+\frac{5}{6}123+65?
- What is 29+32\frac{2}{9}+\frac{3}{2}92+23?
- What is 23+37\frac{2}{3}+\frac{3}{7}32+73?
- True or False\text{True or False}True or False === When adding fractions with unlike denominators, the denominator in the answer is the product of the first two denominators.
- You and some friends want to play a game of pickup football with another group of friends, but you are not sure if you will have enough people to play. You only have 34\frac{3}{…
- What is 25−13\frac{2}{5}-\frac{1}{3}52−31?
- What is 12−514\frac{1}{2}-\frac{5}{14}21−145?
- After a bake sale, you have 34\frac{3}{4}43 of a pan of brownies left. You give your sister Abby half a pan of brownies, and you give your sister Sam one sixth a pan of brownie…
- What is 38−15\frac{3}{8}-\frac{1}{5}83−51?
- What is 144−32\frac{14}{4}-\frac{3}{2}414−23?
- If you have three-fourths of one apple pie, and three-eighths of another apple pie, and you combine both pieces of pie together, what is the total amount of pie that you have?
- Is the sum of 15\frac{1}{5}51 and 910\frac{9}{10}109 a proper fraction or an improper fraction?
- Three friends order two pizzas to share. Anna eats 12\frac{1}{2}21 of a pizza, Brody has 13\frac{1}{3}31 of a pizza, and Collin eats 25\frac{2}{5}52. How much is left over?
- One liter of acid is split equally between two beakers, A and B. 15\frac{1}{5}51 of the acid in A is poured into B, and then 15\frac{1}{5}51 of the acid in B is poured back in…
- If half of the students at a school walk to school, a third of the students bike to school, an eighth of the students run to school, and the remaining students drive, what fract…
- Evaluate the difference of fractions using the least common denominator, and put the fraction into the simplest form: 718−59=?\frac{7}{18}-\frac{5}{9}={?}187−95=?
- Simplify using the least common denominator, and write your answer as a fraction in simplest form: 124+56+34\frac{1}{24}+\frac{5}{6}+\frac{3}{4}241+65+43
- Simplify completely as a single fraction: 7+10+177+10+\frac{1}{7}7+10+71
- Simplify completely (in the form of a fraction). 15−1215-\frac{1}{2}15−21
- Simplify completely. (68×12)+(42×54)\left(\frac{6}{8}\times \frac{1}{2}\right)+\left(\frac{4}{2}\times \frac{5}{4}\right)(86×21)+(24×45)
- David and Jessica are baking, and David asks Jessica to add 23\frac{2}{3}32 cup of flour and two tablespoons (18\frac{1}{8}81 cup) of cinnamon. In cups, how much substance tot…
- Solve and simplify completely: 25+49\frac{2}{5}+\frac{4}{9}52+94
- Calculate and simplify completely: (63+515)⋅17\left(\frac{6}{3}+\frac{5}{15}\right)\cdot\frac{1}{7}(36+155)⋅71
- Solve and simplify completely: (415−35)÷14\left(\frac{4}{15}-\frac{3}{5}\right)\div\frac{1}{4}(154−53)÷41
- Calculate the value of xxx: x+35=410x+\frac{3}{5}=\frac{4}{10}x+53=104
- Calculate the value of xxx: x−1016=78x-\frac{10}{16}=\frac{7}{8}x−1610=87
- What is 47−13\frac{4}{7}-\frac{1}{3}74−31?
- What is 13−25\frac{1}{3}-\frac{2}{5}31−52?
- What is 34−23\frac{3}{4}-\frac{2}{3}43−32?
- The following is a decomposition of which fraction? 18+12\frac{1}{8}+\frac{1}{2}81+21
- The following is a decomposition of which fraction? 13+19+19+127+127+127\frac{1}{3}+\frac{1}{9}+\frac{1}{9}+\frac{1}{27}+\frac{1}{27}+\frac{1}{27}31+91+91+271+271+271
- You have 333 pieces of leftover pizza, which was originally divided into 888 slices. Your friend has 555 pieces of leftover pizza which was originally divided into 121212 slices…
- Write 37+58\frac{3}{7}+\frac{5}{8}73+85 as a fraction in simplest form.
- Write 67−14\frac{6}{7}-\frac{1}{4}76−41 as a fraction in simplest form.
- Suppose a canister of potato chips is 12\frac{1}{2}21 full, and you eat 12\frac{1}{2}21 of what's left. How full is it now?
- The sum: 16+16+13\frac{1}{6}+\frac{1}{6}+\frac{1}{3}61+61+31 is equivalent to which of the following fractions?
- The sum: 18+14+12\frac{1}{8}+\frac{1}{4}+\frac{1}{2}81+41+21 is a decomposition of which fraction?
- The sum: 112+16+16+14\frac{1}{12}+\frac{1}{6}+\frac{1}{6}+\frac{1}{4}121+61+61+41 is a decomposition of which fraction?
- The sum: 110+110+125+125+125+125+125+15\frac{1}{10}+\frac{1}{10}+\frac{1}{25}+\frac{1}{25}+\frac{1}{25}+\frac{1}{25}+\frac{1}{25}+\frac{1}{5}101+101+251+251+251+251+251+5…
- The sum: 16+112+112+118+118+118\frac{1}{6}+\frac{1}{12}+\frac{1}{12}+\frac{1}{18}+\frac{1}{18}+\frac{1}{18}61+121+121+181+181+181 is a decomposition of which fraction?
- Add, then reduce to simplest form: 25+56\frac{2}{5}+\frac{5}{6}52+65
- Suppose you're making two pies, and one recipe calls for 94\frac{9}{4}49 of a cup of flour, while the other calls for 53\frac{5}{3}35 of a cup of flour. How much total flour d…
- What is 911+45\frac{9}{11}+\frac{4}{5}119+54? Reduce the answer if possible.
- What is 1013+32\frac{10}{13}+\frac{3}{2}1310+23? Reduce the answer if possible.
- Write 13+25\frac{1}{3}+\frac{2}{5}31+52 as a fraction in simplest form.
- Subtract, the reduce to simplest form: 106−318\frac{10}{6}-\frac{3}{18}610−183
- Subtract, then reduce to simplest form: 47−12\frac{4}{7}-\frac{1}{2}74−21
- Subtract, then reduce to simplest form: 45−23\frac{4}{5}-\frac{2}{3}54−32
- Subtract, then reduce to simplest form: 910−25\frac{9}{10}-\frac{2}{5}109−52
- Subtract, then reduce to simplest form: 3964−1532\frac{39}{64}-\frac{15}{32}6439−3215
- 19+19+13\frac19+\frac19+\frac1391+91+31 This is a decomposition of what fraction?
- Which of the following is a decomposition of the fraction 821\frac{8}{21}218?
- Select the decompositions of 512\frac5{12}125.
- Simplify 1510+154\frac{15}{10}+\frac{15}{4}1015+415
- Simplify 1214+56\frac{12}{14}+\frac{5}61412+65
- Simplify 212+54\frac{2}{12}+\frac54122+45
- Simplify 514+142\frac{5}{14}+\frac{14}2145+214
- Simplify 36+45\frac36+\frac4563+54
- Simplify 112−810\frac{11}{2}-\frac8{10}211−108
- Simplify 24−45\frac24-\frac4542−54
- Simplify 122−49\frac{12}{2}-\frac{4}{9}212−94
- Simplify 315−83\frac3{15}-\frac83153−38
- Simplify 14−148\frac14-\frac{14}841−814
- Select the improper fractions.
- A cake is cut into 888 pieces. Lily took 222 slices and Bess took a quarter of the cake. How much of the cake is left?
- Which of the following can be added to 38\frac{3}{8}83 to get 1924\frac{19}{24}2419?
- Currently, half the tub is full. How much longer does Alex have to wait?
- Simplify. 12−3456−78\frac{\frac{1}{2}-\frac{3}{4}}{\frac{5}{6}-\frac{7}{8}}65−8721−43
- Simplify. 1110+98−76×54÷32\frac{11}{10}+\frac98-\frac76\times\frac54\div\frac321011+89−67×45÷23