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Simplify and work with ratios
Simplify ratios, find equivalent ratios, and understand ratio relationships with step-by-step solutions.
Enter ratio parts to simplify
A ratio is a comparison of two or more quantities. Ratios show the relative sizes of two or more values. Simplifying ratios makes them easier to understand and work with.
A ratio is a way to compare two or more quantities. It shows how much of one thing there is compared to another. For example, a ratio of 2:3 means for every 2 of the first item, there are 3 of the second.
To simplify a ratio, find the Greatest Common Factor (GCF) of all the numbers in the ratio, then divide each number by the GCF. For example, 15:25 can be simplified by dividing both by 5 to get 3:5.
Equivalent ratios are ratios that represent the same relationship. They're created by multiplying or dividing all parts by the same number. For example, 2:3, 4:6, and 8:12 are all equivalent ratios.
Yes, but it's generally better to express ratios as whole numbers. To convert decimal ratios to whole numbers, multiply all parts by the same power of 10 until all decimals are eliminated.
While similar, a ratio compares separate quantities (like 3 boys to 2 girls), while a fraction represents part of a whole (like 3/5 of a pizza). However, ratios can be written as fractions for calculation purposes.
Two ratios are equivalent if they simplify to the same ratio, or if their cross products are equal. For example, 2:3 and 8:12 are equivalent because both simplify to 2:3.
Yes! Ratios can compare three or more quantities. For example, a 2:3:5 ratio might represent the amounts of three different ingredients in a recipe.
A 1:1 ratio means equal amounts of both quantities. For example, a 1:1 mixture of water and juice means half water and half juice.