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Reduce to simplest form.

-(3)/(2)-(3)/(8)=

Reduce to simplest form.\newline3238= -\frac{3}{2}-\frac{3}{8}=

Full solution

Q. Reduce to simplest form.\newline3238= -\frac{3}{2}-\frac{3}{8}=
  1. Find Common Denominator: To combine the fractions, we need to find a common denominator. The denominators are 22 and 88, and the least common denominator (LCD) is 88.
  2. Rewrite First Fraction: Rewrite the first fraction with the common denominator by multiplying both the numerator and the denominator by 44. This gives us 3×42×4=128-\frac{3 \times 4}{2 \times 4} = -\frac{12}{8}.
  3. Combine Fractions: Now we have two fractions with the same denominator: 128-\frac{12}{8} and 38-\frac{3}{8}. We can combine these by adding the numerators and keeping the common denominator.
  4. Add Numerators: Add the numerators: 12+(3)=15-12 + (-3) = -15. So the combined fraction is 158-\frac{15}{8}.
  5. Check for Simplification: Check if the fraction can be simplified further. Since the numerator and the denominator have no common factors other than 11, the fraction is already in its simplest form.

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