Generate, compare, and simplify equivalent fractions in numeric and contextual settings.
Find the missing value in an equivalent fraction
Problem
Fill in the blank to make the fractions equivalent: \(4/7~=~\text{\_\_}/21\)
Big Picture
What this problem is really about
Equivalent fractions scale both positions by the same multiplier. We’ll compare the denominators seven and twenty-one to find that multiplier, apply it to the numerator four, and check the completed relationship with equal cross-products. Using the denominator’s additive difference would not preserve the ratio.
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