-3(1)/(2)÷(-1(2)/(5))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. -3(1)/(2) becomes -7/2 and -1(2)/(5) becomes -7/5.Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. (-7/2) ÷ (-7/5) becomes (-7/2) * (-5/7).Multiply Numerators and Denominators: Multiply the numerators and the denominators. (-7) * (-5) = 35 and 2 * 7 = 14.Simplify Fraction: Simplify the fraction 35/14. 35/14 simplifies to 2(1)/(2) or 2.5.

Home

Math Problems

Grade 8

Powers with negative bases

Full solution

-3 \frac{1}{2} \div\left(-1 \frac{2}{5}\right)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $-3\left(\frac{1}{2}\right)$ becomes $-\frac{7}{2}$ and $-1\left(\frac{2}{5}\right)$ becomes $-\frac{7}{5}$ .
Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. $(-\frac{7}{2}) \div (-\frac{7}{5})$ becomes $(-\frac{7}{2}) \times (-\frac{5}{7})$ .
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(-7) \times (-5) = 35$ and $2 \times 7 = 14$ .
Simplify Fraction: Simplify the fraction $\frac{35}{14}$ . $\frac{35}{14}$ simplifies to $2\left(\frac{1}{2}\right)$ or $2.5$ .