-(1)/(2)÷(-1(3)/(8))=

Convert to Improper Fraction: Convert the mixed number to an improper fraction. -1(3)/(8) = -1 * 8/8 - 3/8 = -8/8 - 3/8 = -11/8Multiply by Reciprocal: Rewrite the division as multiplication by the reciprocal. -(1)/(2) ÷ (-11/8) = -(1)/(2) * (-8/11)Multiply Numerators and Denominators: Multiply the numerators and the denominators. (-1 * -8) / (2 * 11) = 8 / 22Simplify Fraction: Simplify the fraction. 8 / 22 can be simplified to 4 / 11 by dividing both numerator and denominator by 2.

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Math Problems

Grade 8

Powers with negative bases

Full solution

-\frac{1}{2} \div\left(-1 \frac{3}{8}\right)=

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ $-1\frac{3}{8} = -1 \times \frac{8}{8} - \frac{3}{8} = -\frac{8}{8} - \frac{3}{8} = -\frac{11}{8}$
Multiply by Reciprocal: Rewrite the division as multiplication by the reciprocal. $-(\frac{1}{2}) \div (-\frac{11}{8}) = -(\frac{1}{2}) \times (-\frac{8}{11})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $(-1 \times -8) / (2 \times 11) = 8 / 22$
Simplify Fraction: Simplify the fraction. $8 / 22$ can be simplified to $4 / 11$ by dividing both numerator and denominator by $2$ .