Subjects algebra

Fraction Subtraction

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Fraction Subtraction


1. **State the problem:** Simplify the expression $$\frac{3}{8} - \frac{2}{7}$$. 2. **Find a common denominator:** The denominators are 8 and 7, so the least common denominator (LCD) is $$8 \times 7 = 56$$. 3. **Rewrite each fraction with the common denominator:** $$\frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56}$$ $$\frac{2}{7} = \frac{2 \times 8}{7 \times 8} = \frac{16}{56}$$ 4. **Subtract the fractions:** $$\frac{21}{56} - \frac{16}{56} = \frac{21 - 16}{56} = \frac{5}{56}$$ 5. **Simplify if possible:** 5 and 56 have no common factors other than 1, so $$\frac{5}{56}$$ is the simplified form. **Final answer:** $$\frac{5}{56}$$