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Math 7

Math 7 · Worksheets

Fractions, decimals and percents

Ten questions of mixed difficulty, covering Fractions and percents. Print it, or work through it on screen — the answer key starts on its own page.

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Fractions, decimals and percents

Math 7 · maddyhelps.com

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Circle the best answer for each question. Show your work in the space provided.

  1. Which fraction, in lowest terms, is equal to 0.45?

    1. a) 9/2
    2. b) 9/20
    3. c) 9/200
    4. d) 4/5

  2. Maya had 3¼ m of ribbon and used 1¾ m of it. How much ribbon is left?

    1. a) 1¼ m
    2. b) 5 m
    3. c) 1½ m
    4. d) 2½ m

  3. A recipe needs 1/2 cup of milk and 5/6 cup of water. How much liquid is that in all?

    1. a) 8/12 cup
    2. b) 1 cup
    3. c) 1⅓ cups
    4. d) 6/8 cup

  4. 1/4 + 2/3 equals

    1. a) 11/12
    2. b) 11/24
    3. c) 3/12
    4. d) 3/7

  5. Written as a decimal, 3/8 is

    1. a) 0.125
    2. b) 3.8
    3. c) 2.666…
    4. d) 0.375

  6. Which decimal is exactly equal to 2/3?

    1. a) 0.6
    2. b) 0.67
    3. c) 1.5
    4. d) 0.666…

  7. 7/8 − 1/4 equals

    1. a) 6/4
    2. b) 6/32
    3. c) 5/8
    4. d) 6/8

  8. A $40 jacket is on sale for 15% off. What is the sale price?

    1. a) $25
    2. b) $46
    3. c) $34
    4. d) $6

  9. 2 1/2 + 1 1/3 equals

    1. a) 3 2/5
    2. b) 3 5/6
    3. c) 3 2/6
    4. d) 3 5/12

  10. Which list is in order from least to greatest?

    1. a) 0.3, 1/3, 0.33, 0.334
    2. b) 0.3, 0.33, 1/3, 0.334
    3. c) 1/3, 0.3, 0.33, 0.334
    4. d) 0.3, 0.33, 0.334, 1/3

Answer key · Fractions, decimals and percents

Math 7 · maddyhelps.com

  1. b) 9/20 — 0.45 is 45 hundredths, or 45/100, and dividing the top and bottom by 5 gives 9/20. 9/2 comes from 45/10, which is 4.5 — the 5 is in the hundredths place, so the denominator is 100. 4/5 just uses the two digits.
  2. c) 1½ m — Change both to quarters: 3¼ = 13/4 and 1¾ = 7/4, so 13/4 − 7/4 = 6/4 = 1½ m. Answering 2½ m subtracts the whole numbers and then takes ¼ from ¾ — the fractions turned round — and 1¼ m leaves out the ¼ she started with.
  3. c) 1⅓ cups — Rename 1/2 as 3/6, so 3/6 + 5/6 = 8/6 = 1 2/6 = 1⅓ cups. Adding 1 + 5 without renaming gives 6/6 = 1 cup, but halves and sixths are different-sized pieces. 6/8 adds the tops and the bottoms.
  4. a) 11/12 — Rename both with the common denominator 12: 3/12 + 8/12 = 11/12. Adding the tops and the bottoms gives 3/7, which is less than 2/3 on its own — adding cannot make it smaller. 11/24 adds the denominators after renaming, but the pieces are still twelfths.
  5. d) 0.375 — A fraction bar means divide: 3 ÷ 8 = 0.375. Writing 3.8 just puts a decimal point between the two digits, and 2.666… divides 8 by 3 — the right numbers, the wrong way round.
  6. d) 0.666… — 2 ÷ 3 = 0.6666…, and the 6 repeats forever, so the exact value is 0.666…. 0.67 is that decimal rounded to hundredths — close, but not equal — and 1.5 is 3 ÷ 2.
  7. c) 5/8 — Rename 1/4 as 2/8, then 7/8 − 2/8 = 5/8. 6/8 takes away 1 eighth instead of 2, because 1/4 was never renamed, and 6/4 subtracts the bottoms as well as the tops.
  8. c) $34 — 10% of $40 is $4, and 5% is half of that, $2, so 15% is $6. The sale price is $40 − $6 = $34. $6 is the discount, not the price, and $25 takes off 15 dollars instead of 15 percent.
  9. b) 3 5/6 — Add the whole numbers, 2 + 1 = 3, then the fractions over a common denominator of 6: 3/6 + 2/6 = 5/6. So the total is 3 5/6. Adding the tops and the bottoms gives 2/5, and 3 5/12 adds the denominators after renaming — the pieces are still sixths.
  10. b) 0.3, 0.33, 1/3, 0.334 — 1/3 = 0.333…, with the 3s going on forever. That is more than 0.33, but less than 0.334, which has a 4 in the thousandths place where 1/3 has a 3. Treating 1/3 as 0.3 puts it too early, and putting it last assumes a decimal that never ends must be bigger.