Select [b]all [/b]the statements that show correct reasoning for finding [math]\frac{14}{15}\div\frac{7}{5}[/math].
Clare said that [math]\frac{4}{3}\div\frac{5}{2}[/math] is [math]\frac{10}{3}[/math]. She reasoned: [math]\frac{4}{3}\cdot5=\frac{20}{3}[/math] and [math]\frac{20}{3}\div2=\frac{10}{3}[/math]. [br][br]Explain why Clare’s answer and reasoning are incorrect. Find the correct quotient.
Find the value of [math]\frac{15}{4}\div\frac{5}{8}[/math]. Show your reasoning. You can use the app below.
Consider the problem: Kiran has [math]2\frac{3}{4}[/math]pounds of flour. When he divides the flour into equal-sized bags, he fills [math]4\frac{1}{8}[/math]bags. How many pounds fit in each bag?[br][br]Write a multiplication equation and a division equation to represent the question. Then, find the answer and show your reasoning. You can use the applet below to show your reasoning.
[size=150]Divide [math]4\frac{1}{2}[/math] by each of these unit fractions. [br][/size][br][math]\frac{1}{8}[/math]
[size=150]Consider the problem: After charging for [math]\frac{1}{3}[/math]of an hour, a phone is at [math]\frac{2}{5}[/math]of its full power. How long will it take the phone to charge completely?[br][br]Decide whether each equation can represent the situation.[br][/size][br][math]\frac{1}{3}\cdot?=\frac{2}{5}[/math]
[math]\frac{1}{3}\div\frac{2}{5}=?[/math]
[math]\frac{2}{5}\div\frac{1}{3}=?[/math]
[math]\frac{2}{5}\cdot?=\frac{1}{3}[/math]
[size=150]Elena and Noah are each filling a bucket with water. Noah’s bucket is [math]\frac{2}{5}[/math] full and the water weighs [math]2\frac{1}{2}[/math] pounds. How much does Elena’s water weigh if her bucket is full and her bucket is identical to Noah’s?[/size][br][br]Write multiplication and division equations to represent the question.
Find the answer to the problem above.