Question

1. find the quotient. \\\\ $\frac{4}{5} \div 1\frac{1}{3}$

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \(1\frac{1}{3}\) to an improper fraction. \(1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}\)

Step2: Divide the fractions

Now, divide \(\frac{4}{5}\) by \(\frac{4}{3}\). When dividing fractions, we multiply by the reciprocal of the divisor. So \(\frac{4}{5}\div\frac{4}{3}=\frac{4}{5}\times\frac{3}{4}\)

Step3: Simplify the product

Cancel out the common factor of 4 in the numerator and denominator: \(\frac{\cancel{4}}{5}\times\frac{3}{\cancel{4}}=\frac{3}{5}\)

Answer:

\(\frac{3}{5}\)