Lesson Worksheet: Equivalent Ratios Mathematics • 6th Grade

In this worksheet, we will practice simplifying ratios, whether they be part-to-part ratios or three-part ratios, and how to find equivalents to these ratios.

Q1:

Find the ratio 19109.5 in its simplest form.

  • A995
  • B15
  • C36120
  • D1990
  • E51

Q2:

Express the ratio 10753 in its simplest form.

  • A76
  • B3035
  • C2150
  • D5021
  • E67

Q3:

A boy has 209 LE and his sister has 132 LE. What is the ratio between his money and hers in its simplest form?

  • A1912
  • B719
  • C1219
  • D127
  • E712

Q4:

Which of the following ratios is equivalent to 1.5 : 4.6?

  • A7.5 : 10.6
  • B7.5 : 23
  • C3 : 2.3
  • D7.5 : 4.6
  • E3 : 4.6

Q5:

We can find equivalent ratios by multiplying or dividing both sides by the same number. For example, 1 : 5 is equivalent to 2 : 10.

Write a ratio equivalent to 59 by 4 that is the result of multiplying both sides by 4.

  • A3620
  • B913
  • C1018
  • D2032
  • E2036

Write a ratio equivalent to 3 : 8 that is the result of multiplying both sides by 5.

  • A15 : 8
  • B3 : 40
  • C15 : 40
  • D40 : 15
  • E8 : 13

Q6:

Which of the following ratios is equivalent to 3 : 7?

  • A7 : 3
  • B12 : 28
  • C7 : 11
  • D1 : 21
  • E1 : 5

Q7:

A student got 30 out of 90 marks in the first-term exam in physics, and he got 81 out of 90 in the second-term exam. Express the ratio of his total marks scored in the two exams to the total marks available in its simplest form.

  • A13
  • B3730
  • C1027
  • D3760

Q8:

Express the ratio 3552 as a fraction in its simplest form.

  • A5235
  • B8752
  • C5217
  • D3552

Q9:

Express the ratio of 72 minutes to 30 minutes in its simplest form.

  • A3072
  • B75
  • C57
  • D125
  • E512

Q10:

Are the ratios 654lb:oz and 550lb:oz equivalent?

  • ANo
  • BYes

Practice Means Progress

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