Add and subtract fractions and mixed numbers with appropriate common denominators.
Translate verbal fraction situations into equations
Problem
A soup recipe uses \(3/4~\text{cup}\) of broth in \(\text{one}\) step and \(2/3~\text{cup}\) in another step. Write the addition equation and calculate the simplified total amount of broth.
Big Picture
What this problem is really about
The recipe uses both broth amounts, so the word total signals addition. We’ll write the equation with cups, rename fourths and thirds as twelfths, and combine those equal-sized units. If the numerator exceeds the denominator, we’ll regroup the improper fraction as a mixed number and check that its fractional part is simplified.
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