Subtracting Unlike Fractions and Mixed Numbers

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Questions and Answers

What is the result of subtracting $\frac{3}{5}$ from $\frac{7}{10}$?

  • $\frac{1}{10}$
  • $\frac{2}{5}$
  • $\frac{1}{5}$ (correct)
  • $\frac{1}{2}$

What is the difference between $4 \frac{1}{2}$ and $2 \frac{3}{4}$?

  • $2 \frac{3}{4}$
  • $1 \frac{1}{4}$
  • $1 \frac{3}{4}$ (correct)
  • $2 \frac{1}{4}$

When subtracting $\frac{2}{3}$ from $\frac{5}{9}$, what is the correct result?

  • $-\frac{1}{9}$
  • $\frac{7}{9}$
  • $-\frac{7}{9}$ (correct)
  • $\frac{1}{9}$

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Study Notes

Subtracting Fractions

  • Subtracting 3/5 from 7/10 gives the result of (7/10) - (3/5) = (7-6)/10 = 1/10
  • Subtracting 2 3/4 from 4 1/2 gives the result of (9/2) - (11/4) = (18-11)/4 = 7/4
  • Subtracting 2/3 from 5/9 gives the result of (5/9) - (2/3) = (5-6)/9 = -1/9

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