Basic College Mathematics (10th Edition)

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Chapter 3 - Adding and Subtracting Fractions - 3.4 Adding and Subtracting Mixed Numbers - 3.4 Exercises - Page 230: 64

Answer

Regroup when: the first number is a whole number, or the fraction in the first number is smaller than the fraction in the second number.

Work Step by Step

When subtracting two numbers, you need to regroup when: (a) the first (or top) number is a whole number or: (b) the fraction in the first (or top) number is smaller than the fraction in the second (or bottom) number Example of situation (a): $\displaystyle 10-5\frac{1}{3}=9\frac{3}{3}-5\frac{1}{3}=...$ Example of situation (b): $\displaystyle 10\frac{1}{3}-5\frac{2}{3}=9\frac{4}{3}-5\frac{2}{3}=...$
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