-1(5)/(6)÷(-3(1)/(3))=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. -1(5)/(6) becomes -11/6 and -3(1)/(3) becomes -10/3.Set Up Division: Set up the division of the two improper fractions. (-11/6) ÷ (-10/3)Change to Multiplication: Change the division to multiplication by flipping the second fraction (multiplicative inverse). (-11/6) × (-3/10)Multiply Numerators and Denominators: Multiply the numerators and then the denominators. (-11) × (-3) = 33 and 6 × 10 = 60Write Result as Fraction: Write the result as a fraction. 33/60Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of 33 and 60. The GCD is 3.Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. 33 ÷ 3 = 11 and 60 ÷ 3 = 20Write Simplified Fraction: Write the simplified fraction. 11/20

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Math Problems

Grade 8

Powers with negative bases

Full solution

-1 \frac{5}{6} \div\left(-3 \frac{1}{3}\right)=

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $-1\frac{5}{6}$ becomes $-\frac{11}{6}$ and $-3\frac{1}{3}$ becomes $-\frac{10}{3}$ .
Set Up Division: Set up the division of the two improper fractions. $(-\frac{11}{6}) \div (-\frac{10}{3})$
Change to Multiplication: Change the division to multiplication by flipping the second fraction (multiplicative inverse). $(-\frac{11}{6}) \times (-\frac{3}{10})$
Multiply Numerators and Denominators: Multiply the numerators and then the denominators. $\newline$ $(-11) \times (-3) = 33$ and $6 \times 10 = 60$
Write Result as Fraction: Write the result as a fraction. $\frac{33}{60}$
Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of $33$ and $60$ . The GCD is $3$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $33 \div 3 = 11$ and $60 \div 3 = 20$
Write Simplified Fraction: Write the simplified fraction. $\frac{11}{20}$