Question

1.Find the quotient of 1/2and 3/4.2. Divide 4by2/33.If 5/9is divided by3, what is the quotient4. Mrs. Dolentebuys 5 1/2kilograms of rice. If she cooks 1/4kilogram for every meal, how many meals will it last?5.Marita needs 2/3meter of lace for each pillowcaseshe makes. How many pillowcasescan she make with 7 1 3meters of lace

Answer 1

$\begin{gathered} 1)\frac{2}{3} \\ 2)6 \\ 3)\frac{5}{27} \\ 4)22 \\ 5)11 \end{gathered}$

1) We can find the quotient between two fractions by multiplying the first one by the reciprocal of the second one this way:

$\frac{\frac{1}{2}}{\frac{3}{4}}=\frac{1}{2}\times\frac{4}{3}=\frac{4}{6}=\frac{2}{3}$

2) Let's now divide 4 by 2/3 following the same principle:

$\frac{4}{\frac{2}{3}}=4\times\frac{3}{2}=\frac{12}{2}=6$

Notice that we have simplified as well as the previous item (1).

3) Proceeding with that we have:

$\frac{\frac{5}{9}}{3}=\frac{5}{9}\times\frac{1}{3}=\frac{5}{27}$

4) To find this out, we need to convert that Mixed Number to Improper Fraction:

$\begin{gathered} 5\frac{1}{2}=\frac{2\times5+1}{2}=\frac{11}{2} \\ \frac{\frac{11}{2}}{\frac{1}{4}}=\frac{11}{2}\times4=\frac{44}{2}=22 \end{gathered}$

We kept the denominator then multiplied it by the whole number and added it to 1. So it will last 22 meals.

5) To find it out we are going to divide 7 1/3 by 2/3 meter, after converting that Mixe Number into an Improper Fraction:

$\begin{gathered} 7\frac{1}{3}=\frac{3\times7+1}{3}=\frac{22}{3} \\ \frac{\frac{22}{3}}{\frac{2}{3}}=\frac{22}{3}\times\frac{3}{2}=\frac{66}{6}=11 \end{gathered}$

Notice, that we have used the same procedure to convert from Mixed Numbers to an Improper fraction. Marita can make 11 pillowcases.

And those are the answers.