Equivalent Ratios Flashcards

Ratios that represent the same relationship between quantities, even if the numbers are scaled up or down.

Divide all parts of the ratio by their highest common factor (HCF) to simplify it.

Multiply all parts of the ratio by the same number to create an equivalent ratio.

Divide all parts of the ratio by the same number to create an equivalent ratio.

Use the relationship between the parts of the ratio to find the missing value by scaling up or down.

A ratio is in its simplest form when the numbers in the ratio have no common factors other than 1.

Write each part of the ratio as a fraction of the total (e.g., for 2:3, write 2/5 and 3/5).

Two ratios are equivalent if the cross-products of their terms are equal (e.g., 2:3 and 4:6 are equivalent because 2×6 = 3×4).

Ratios can be used to compare quantities, divide amounts, or solve problems involving proportional relationships.

Ratios are closely related to proportion, which describes how one quantity changes in relation to another.