Question

8.) kit is baking cakes. she has 5 cups of sugar and each cookie needs \\(\frac{3}{4}\\)cup of sugar. determine the number of cakes kit can make. a.) find \\(5 \div \frac{3}{4}\\). express your answer in simplest fraction form. b.) which statement best interprets the quotient? \\(\square\\) the quotient \\(3\frac{3}{4}\\). this means that kit can make 3 whole cakes. \\(\square\\) the quotient \\(3\frac{3}{4}\\). this means that kit can make 4 whole cakes. \\(\square\\) the quotient \\(6\frac{2}{3}\\). this means that kit can make 6 whole cakes. \\(\square\\) the quotient \\(6\frac{2}{3}\\). this means that kit can make 7 whole cakes.

Explanation:

Step1: Rewrite division as multiplication

$5 \div \frac{3}{4} = 5 \times \frac{4}{3}$

Step2: Multiply numerators and denominators

$5 \times \frac{4}{3} = \frac{5 \times 4}{3} = \frac{20}{3}$

Step3: Convert to mixed fraction

$\frac{20}{3} = 6\frac{2}{3}$

Step4: Interpret the quotient

Since partial cakes are not whole, only 6 whole cakes can be made.

Answer:

A.) $\frac{20}{3}$ (or $6\frac{2}{3}$)
B.) The quotient $6\frac{2}{3}$. This means that Kit can make 6 whole cakes.