3:5 and 6:10
Explication
3:5 and 6:10 are equivalent because both terms are multiplied by the same factor. The other choices change the comparison by using different multipliers or swap relationships incorrectly.
Multiply or divide both terms by the same non-zero number
Explication
An equivalent ratio is formed by multiplying or dividing both numbers by the same non-zero number. Changing only one term does not preserve the ratio.
Divide the new number (20) by the original number (4)
Explication
The multiplier comes from matching corresponding terms: 20 ÷ 4. Using a non-matching position would give an incorrect multiplier.
Match corresponding positions (first with first, second with second)
Explication
You match corresponding numbers in the same position to find the multiplier (e.g., first-to-first). The multiplier must be found from matching positions, not unrelated terms.
35
Explication
The multiplier is 20 ÷ 4 = 5, so the missing number is 7 × 5 = 35. Choices like 30 come from using the wrong multiplier.
By applying the same multiplier to both rows in each column
Explication
A ratio table creates equivalent ratios by applying the same multiplier to both terms for each column. The multiplier cannot differ between the two rows.
3:4, 6:8, 9:12, 12:16
Explication
A double number line uses the same multiplier on both lines, giving 3:4, 6:8, 9:12, and 12:16. The distractors change the multiplier or distort the correspondence.
Divide the known quantity by the ratio term that corresponds to it to find the multiplier
Explication
To find the multiplier, you divide the known quantity by the ratio term that matches it in the ratio. Using multiplication or addition would not give the multiplier described in the method.
4
Explication
10 girls match the second term 5, so the multiplier is 10 ÷ 5 = 2 and boys are 2 × 2 = 4. Choosing 5 would wrongly treat 10 as matching the first term.
Multiply both corresponding terms by the same factor
Explication
When the corresponding number gets bigger, you use multiplication—and you apply the operation consistently to both terms. Using division or changing only one term is the common mistake.
Using different multipliers for each term
Explication
A common mistake is using different multipliers rather than the same one for both terms. The other options describe consistent multiplier use and verification steps.
Mémorisez les réponses avec 24 flashcards sur Equivalent Ratios.
What are equivalent ratios?
Different ratios showing the same comparison.
How is an equivalent ratio created?
By multiplying or dividing both numbers by the same non-zero number.
Why are 2:3, 4:6, and 6:9 equivalent ratios?
Because each is formed by applying the same multiplier to both terms.
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