Reduce to simplest form. -(3)/(2)-(3)/(8)=

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

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Algebra 2

Simplify variable expressions using properties

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Q. Reduce to simplest form.

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-\frac{3}{2}-\frac{3}{8}=

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