Equivalent Ratios
Grade 6 · Math · Ratios and Rates · Washington, USA
Lesson Summary
Equivalent ratios express the same relationship using different numbers. You find them by multiplying or dividing both parts of the ratio by the same number.
Explanation
Two ratios are equivalent if they describe the same comparison. For instance, 2:3 and 4:6 are equivalent because you can multiply both parts of 2:3 by 2 to get 4:6. You can also divide both parts by a common factor to simplify. Equivalent ratios work like equivalent fractions: the relationship stays the same even though the numbers change. This skill is essential for scaling recipes, reading maps, and solving proportion problems.
Practice Questions
Q1: Is the ratio 3:4 equivalent to 9:12? Explain why or why not.
Answer: Yes, because multiplying both parts of 3:4 by 3 gives 9:12.
Q2: Find a ratio equivalent to 5:10 by simplifying.
Answer: 1:2, because you divide both parts by 5.
Q3: Write two ratios equivalent to 6:8.
Answer: 3:4 (divide both by 2) and 12:16 (multiply both by 2).
People Also Ask
What is Equivalent Ratios in Grade 6 Math?+
Equivalent Ratios is a lesson in the Ratios and Rates chapter of Grade 6 Math. It is part of the Washington, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Equivalent Ratios?+
Equivalent Ratios is taught in Grade 6 as part of the Math curriculum in Washington, USA.
How can I help my child with Ratios and Rates in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Ratios and Rates topics.