Fraction Word Problems - ISEE Lower Level Quantitative Reasoning

1. A printer uses $\frac{3}{4}$ ounce of ink per poster. How much ink is used for $12$ posters?

   $9$ ounces. Multiply $\frac{3}{4}$ by $12$ to find total ink used at the per-poster rate.

2. What is $\frac{5}{6}$ of $24$?

   $20$. Calculate $\frac{5}{6} \times 24$ to find the fraction of the total amount.

3. A jug has $10$ cups of water. If you pour $\frac{2}{5}$ of it out, how many cups are poured out?

   $4$ cups. Multiply $\frac{2}{5}$ by $10$ to find the poured amount as a fraction of the jug.

4. What is $\frac{2}{3}$ of $18$?

   $12$. Multiply $\frac{2}{3}$ by $18$ to determine the portion, using multiplication for 'of'.

5. You read $\frac{3}{10}$ of a $50$-page chapter. How many pages did you read?

   $15$ pages. Compute $\frac{3}{10} \times 50$ to determine the pages read as a fraction of the chapter.

6. What is $\frac{7}{8}$ of $32$?

   $28$. Compute $\frac{7}{8} \times 32$ to obtain the specified fraction of the whole.

7. A store sold $\frac{4}{9}$ of $45$ tickets. How many tickets were sold?

   $20$ tickets. Compute $\frac{4}{9} \times 45$ to determine the tickets sold as a fraction of total.

8. A class has $28$ students. If $\frac{3}{7}$ are absent, how many are absent?

   $12$ students. Calculate $\frac{3}{7} \times 28$ to find the absent students as a fraction of the class.

9. You have $\frac{7}{8}$ yard of fabric. If each mask needs $\frac{1}{8}$ yard, how many masks can you make?

   $7$ masks. Divide $\frac{7}{8}$ by $\frac{1}{8}$ to calculate the number of masks from the fabric.

10. What is $\frac{3}{5}$ of $25$?

    $15$. Find $\frac{3}{5} \times 25$ to determine the fractional portion of the total.

11. What operation should you use for the phrase "of" in a fraction word problem?

    Multiply. The phrase 'of' in fraction word problems indicates multiplication to find a fractional part of a whole quantity.

12. A board is $8$ ft long. If it is cut into pieces of length $\frac{2}{3}$ ft, how many pieces result?

    $12$ pieces. Divide $8$ by $\frac{2}{3}$ to determine the number of pieces from the board.

13. A recipe needs $\frac{2}{3}$ cup sugar per batch. What is needed for $6$ batches?

    $4$ cups. Multiply $\frac{2}{3}$ cup per batch by $6$ batches to scale the recipe requirement.

14. A bottle holds $3$ liters. If each serving is $\frac{1}{6}$ liter, how many servings are there?

    $18$ servings. Divide $3$ by $\frac{1}{6}$ to find the number of servings from the bottle's volume.

15. What operation should you use for the phrase "per" in a fraction word problem?

    Divide. The phrase 'per' in fraction word problems signifies division to determine a rate or unit quantity.

16. A tank holds $40$ gallons. If it is $\frac{5}{8}$ full, how many gallons are in it?

    $25$ gallons. Multiply $\frac{5}{8}$ by $40$ to find the current volume as a fraction of capacity.

17. A ribbon is $12$ ft long. If $\frac{1}{4}$ is used, how many feet are used?

    $3$ ft. Calculate $\frac{1}{4} \times 12$ to find the used portion of the ribbon's length.

18. You have $9$ meters of rope. If each piece is $\frac{3}{4}$ m, how many pieces can you cut?

    $12$ pieces. Divide $9$ by $\frac{3}{4}$ to determine the number of equal pieces from the rope.

19. What operation should you use for the phrase "shared equally among" in a word problem?

    Divide. The phrase 'shared equally among' in word problems requires division to distribute a total evenly among groups.

20. A jar has $2$ pounds of nuts. If each bag is $\frac{1}{8}$ pound, how many bags can be filled?

    $16$ bags. Divide $2$ by $\frac{1}{8}$ to find the number of bags from the jar's contents.

21. A trail is $6$ miles long. If you hike $\frac{5}{6}$ of it, how many miles do you hike?

    $5$ miles. Calculate $\frac{5}{6} \times 6$ to find the distance hiked as a fraction of the trail.

22. A worker earns $\frac{3}{2}$ dollars per minute. How much is earned in $10$ minutes?

    $15$ dollars. Multiply $\frac{3}{2}$ by $10$ to compute total earnings at the given rate.

23. A recipe uses $\frac{3}{8}$ tsp salt per serving. How much salt is needed for $16$ servings?

    $6$ tsp. Multiply $\frac{3}{8}$ by $16$ to scale the salt amount for multiple servings.

24. A runner goes $5$ miles. If each lap is $\frac{1}{4}$ mile, how many laps is that?

    $20$ laps. Divide $5$ by $\frac{1}{4}$ to calculate the laps equivalent to the total distance.

25. What is $\frac{3}{4}$ of $20$?

    $15$. Multiply $\frac{3}{4}$ by $20$ to find the fractional part, as 'of' indicates multiplication.

Study these flashcards