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Reduce to simplest form.
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Q. Reduce to simplest form.
- Find Common Denominator: Find a common denominator for the fractions and . The least common multiple (LCM) of and is , so we will use as the common denominator.
- Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of . For , we multiply the numerator and denominator by to get . For , we multiply the numerator and denominator by to get .
- Rewrite with New Fractions: Rewrite the expression with the new fractions.The expression now becomes .
- Combine Fractions: Combine the fractions by adding the numerators and keeping the common denominator.The combined fraction is (\frac{\(9\)}{\(24\)}) - (\frac{\(14\)}{\(24\)}) = (\frac{\(9\) - \(14\)}{\(24\)})\.
- Simplify Numerator: Simplify the numerator. \(9 - 14 equals , so the fraction becomes .
- Check for Further Simplification: Check if the fraction can be simplified further. The numerator and denominator have no common factors other than , so the fraction is already in its simplest form.
