Problem

Determine the result of the division involving two fractions.: $\frac{2}{3} \div \frac{3}{4}$

Solution

Step 1 :Given the division problem: \(\frac{2}{3} \div \frac{3}{4}\)

Step 2 :Remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we need to multiply \(\frac{2}{3}\) by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\).

Step 3 :Perform the multiplication: \(\frac{2}{3} \times \frac{4}{3} = \frac{8}{9}\)

Step 4 :Convert the fraction \(\frac{8}{9}\) to a decimal to get the final result: 0.8888888888888888

Step 5 :Final Answer: The result of the division involving the two fractions is \(\boxed{0.8888888888888888}\)

From Solvely APP
Source: https://solvelyapp.com/problems/bP4X5sbDfa/

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