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DifferentiatedWord Problem Task Cards

Fraction Equivalence & Comparison

Review 1. Review

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4. In a football game, Zach threw 24 passes and completed 16 of them. What fraction of passes did he complete (in simplest form)?Hint: To put a fraction in simplest form, divide the numerator (top) and denominator (bottom) by the same number. Think about the greatest number that will divide evenly into 16 and 24 and divide by it.

Ruth is using 1/2 cup of sugar and 5/8 cup of flour for a cookie recipe. She says that the recipe calls for equal amounts of sugar and flour. Is she correct? Hint: Make the fractions into fractions with a common denominator (8). Remember to multiply the numerator and denominator by the same number.

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Lauren needs to buy 8/12 yard of fabric to sew a dress. Write the amount of fabric she needs as a fraction in simplest form. Hint: To put a fraction in simplest form, divide the numerator (top) and denominator (bottom) by the same number. Think about the greatest number that will divide evenly into 8 and 12 and divide by it.

After the fall festival there was 1/2 of a pecan pie, 1/4 of a pumpkin pie, and 4/8 of a chocolate pie left over. Which two types of pies had the same amount left over?Hint: Put all the fractions in simplest form. Remember, this means that the numerator and the denominator don’t have any common factors except for one.

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8. Mrs. Hill bought 5/8 yard of red fabric and 3/5 yard of blue fabric for costumes for the school play. Does she have more red or blue fabric?Hint: Use the 1/2 benchmark to compare 5/8 and 3/5.

Glen is making punch for a party. He needs 3/4 gallon of pineapple juice and 5/6 gallon of orange juice. Does Glen need more pineapple or orange juice?Hint: Make the fractions into fractions with a common denominator (12). Remember to multiply the numerator and denominator by the same number.



Rachael ran 1/3 of a mile. Matthew ran 5/12 mile. Who ran further? Hint: Make the fractions into fractions with a common denominator (12). Remember to multiply the numerator and denominator by the same number.

Olivia spelled 4/5 of the words on her spelling test correctly. Martin spelled 2/3 of his words correctly. Who earned a better score on their spelling test? Hint: Make the fractions into fractions with a common denominator (15). Remember to multiply the numerator and denominator by the same number.

Review Review

Review Review

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12. After a class party, there were 3/4 of a pepperoni pizza, 1/8 of a cheese pizza, and 1/2 of a supreme pizza left. Write the amounts of pizzas in order from least to greatest. Hint: Think about 1/2 as being a benchmark fraction. Put the fractions in order based on this.

In a baseball game Drew got on base 1/2 of the time. Alex got on base 1/3 and Damon got on base 2/5 of the time. Write the fractions in order from least to greatest. Hint: Use the benchmark 1/2 to compare. Then write the remaining fractions as fractions with a common denominator.



Mia bought 3/8 yard of green ribbon and 1/4 yard of purple ribbon to wrap her teachers’ gifts. Does she have more green or purple ribbon? Hint: Make the fractions into fractions with a common denominator (8). Remember to multiply the numerator and denominator by the same number.

Henry walks 7/10 of a mile to school. John walks 1/4 of a mile, and Sarah walks 2/5 of a mile. Write their distances in order from least to greatest. Hint: Use the benchmark 1/2 to compare. Then write the remaining fractions as fractions with a common denominator.

Review Review

Review Review



Extra Practice Extra Practice


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4. Tommy’s bread recipe calls for 1/2 cup of water. If he only has a 1/8 cup measuring cup, how many times will he need to fill it?

The odds of a student winning a prize in the school raffle are 72/100. What would the odds be as a fraction in simplest terms?

Erica is baking a cake. The recipe calls for 1 teaspoon of baking soda. She only has a 1/4 teaspoon measuring spoon. How many times will she need to use the 1/4 cup measuring spoon to equal 1 teaspoon?

Mary is making bunches of balloons for the school carnival. Each bunch has 8 balloons, and 1/2 of them are red. If she makes 6 bunches of balloons, how many red balloons will she need?



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8. Kelly has two vegetable plants. Her tomato plant is 3/8 yard tall and her cucumber plant is 1/3 yard tall. Which of her plants is taller?

Elizabeth needs to buy ribbon to use to make a dress. She needs 5/8 yard of black ribbon and 7/10 yard of red ribbon. Which ribbon will be longer?

Greg works at a bakery that sells muffins. In each box that they sell, 1/2 of the muffins are blueberry, 1/3 are chocolate chip, and 1/6 are pumpkin. If Greg is packing a box of a dozen (12) muffins, how many of each kind will he need?

It rained 12 days in the month of April (30 days). In simplest terms, what fraction of the month was rainy?





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12. Darren is making trail mix. The recipe calls for 1/3 cup peanuts, 5/8 cup of granola, and 1/4 cup of raisins. Write the amounts for each ingredient in order from least to greatest.

On Monday Jay ran 9/10 of a mile. On Tuesday he ran 2/5 of mile. On Wednesday he ran 5/8 of a mile. Write the distances that he ran in order from least to greatest.

After the class party there were 3/4 of a chocolate pie and 2/3 of an apple pie left. Which pie had more left over?

From Kristen’s house the library is 5/8 mile away, the school is 3/4 mile away, and the park is 1/6 mile away. Write the list of places in order from the closest to Kristen’s house to the farthest away.





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Enrichment Enrichment


Susan is making bread. She needs 3 cups of flour. She only has a 1/4 cup measuring cup. How many times will she need to fill the 1/4 cup in order to equal 3 cups?

The local walking trail is 1 mile long. There is a bench every 1/10 mile, and a water fountain every 1/4 of a mile. At what mile markers on the trail are there both a bench and a water fountain?

There are 108 students in the fourth grade. Only 45 students are going on a special over night field trip. In simplest terms, what fraction of the students are going on the field trip?

Elisa has divided her garden into 12 sections. She planted 6 sections with tomatoes. The rest of the garden has an equal number of sections planted with cucumbers and peppers. In the simplest form, what fraction of the garden is peppers?



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8. Sam practiced his baseball swing for 1/3 of an hour on Monday. He practiced for 2/5 of an hour on Tuesday. Which day did he practice longer? How many minutes did he practice each day?

Mark ate 8/12 of the bowl of spaghetti. If Harriet ate 1/2 of the remaining spaghetti, how much did she eat (in simplest form)?

Frank bought 100 balls for a game at the school carnival. Half of the balls were red, 1/4 were blue, 1/8 were green, and 1/8 were orange. Out of the blue balls, 2/5 of them had stripes. How many of the balls were blue with stripes?

Emily is making bracelets for her friends. Each bracelet needs 10 beads: 2/5 red, 1/5 yellow, 3/10 blue, and 1/10 green. If she makes 8 bracelets, how many of each color does she need to buy?





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12. Jimmy practiced his guitar for 4/5 of an hour on Saturday and 5/6 of an hour on Sunday. Which day did he practice longer? How many minutes did he practice each day?

Jack ran 2/3 of a mile and Max ran 7/12 of a mile. Todd ran farther than Max but less than Jack. What is a possible distance that Todd ran?

Jonathan ran 7/12 of a lap on the track. Howard ran 3/4 of a lap, and Bryson ran 3/8 of a lap. The track is 100 yards long. Who ran the farthest and how many yards did he run?

In a basketball game, Bobby made 3/4 of his free throws. Charles made 7/8, Peyton made 4/6, and David made 1/2 of theirs. Write the fractions in order from least to greatest.



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