2(1)/(3)÷(-3(2)/(3))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 2(1)/(3) = (2*3 + 1)/3 = 7/3 -3(2)/(3) = (-3*3 - 2)/3 = -11/3Set Up Division: Set up the division of the two fractions. (7/3) ÷ (-11/3)Change to Multiplication: Change the division to multiplication by the reciprocal of the second fraction. (7/3) * (-3/11)Multiply Numerators and Denominators: Multiply the numerators and the denominators. 7 * -3 = -21 3 * 11 = 33Write in Simplest Form: Write the result in simplest form. -21/33Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3. (-21/3) / (33/3) = -7/11

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Math Problems

Grade 8

Powers with negative bases

Full solution

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

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $2\frac{1}{3} = \frac{2\times 3 + 1}{3} = \frac{7}{3}$ $\newline$ $-3\frac{2}{3} = \frac{-3\times 3 - 2}{3} = \frac{-11}{3}$
Set Up Division: Set up the division of the two fractions. $(\frac{7}{3}) \div (\frac{-11}{3})$
Change to Multiplication: Change the division to multiplication by the reciprocal of the second fraction. $\newline$ $(\frac{7}{3}) \times (\frac{-3}{11})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $7 \times -3 = -21$ $\newline$ $3 \times 11 = 33$
Write in Simplest Form: Write the result in simplest form. $-\frac{21}{33}$
Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is $3$ . $\frac{-21}{3}$ / $\frac{33}{3}$ = $-\frac{7}{11}$