Ratios are a high-frequency topic on the GRE Quant section, testing your ability to work flexibly with relationships. This guided path will teach you the core skills and the strategic shortcuts needed to solve these questions quickly and accurately.
Start with the core definition and walk through a step-by-step example of how to simplify ratios to their lowest terms.
Learn the fundamental method for solving word problems by representing unknown values with a common multiplier 'x'.
Master the methods for distributing a total amount into a given ratio and for working backwards to find the total from a single part.
Master the crucial technique for combining two separate ratios (e.g., a:b and b:c) into a single, continuous ratio (a:b:c).
Walk through a real-world application of ratios in partnership problems, where both investment and time must be considered.
Learn how to convert statements of multiples (e.g., 3A = 4B) into the correct A:B ratio, a common trap in advanced problems.
Test your ability to solve for the "fourth proportional," a key skill for solving a wide variety of ratio problems.
Learn the fastest way to solve QC ratio problems by using strategic substitution instead of slow, formal algebra.
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