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-5(1)/(2)÷(-4(1)/(2))=

$-5 \frac{1}{2} \div\left(-4 \frac{1}{2}\right)=$

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Multiply and divide decimals by powers of ten

Full solution

Q.

-5 \frac{1}{2} \div\left(-4 \frac{1}{2}\right)=

Convert to improper fractions: Convert mixed numbers to improper fractions. $\newline$ $-5\left(\frac{1}{2}\right)$ becomes $-\left(\frac{11}{2}\right)$ and $-4\left(\frac{1}{2}\right)$ becomes $-\left(\frac{9}{2}\right)$ .
Set up division: Set up the division of the two fractions. $\newline$ Divide $-\frac{11}{2}$ by $-\frac{9}{2}$ .
Divide by reciprocal: Divide by multiplying by the reciprocal. $\newline$ Multiply $-\frac{11}{2}$ by $-\frac{2}{9}$ .
Multiply numerators and denominators: Multiply the numerators and the denominators. $(-11 \times -2) / (2 \times 9) = 22 / 18$ .
Simplify fraction: Simplify the fraction. $\frac{22}{18}$ can be simplified to $\frac{11}{9}.$

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