Question

Hi!, so i really need help with my Finding Equivalent Unit Fraction with Fractions worksheet because i really dont understand

Answer 1

Let us analyze question 5.

$\frac{\frac{4}{9}}{\frac{2}{7}}=\frac{\square}{1}$

To simplify, we can represent the empty box with an alphabet. let us say y for example to that we will have

step 1:

$\frac{\frac{4}{9}}{\frac{2}{7}}=\frac{y}{1}$

Next, we will simplify the expression on the left -hand side by dividing

$\begin{gathered} \frac{\frac{4}{9}}{\frac{2}{7}}=\frac{4}{9}\div\frac{2}{7}=\frac{4}{9}\times\frac{7}{2} \\ \\ \end{gathered}$

Simplifying further

$\frac{28}{18}=\frac{14}{9}$

This means that the value of the left-hand side of the equation is

$\frac{14}{9}$

step 2: Hence, we can equate to the right-hand side

$\frac{14}{9}=\frac{y}{1}$

Cross multiplying

$\begin{gathered} 9\times y=14\times1 \\ 9y=14 \end{gathered}$

Dividing both sides by 9

$y=\frac{14}{9}$

Question 6

$\begin{gathered} \frac{\frac{6}{7}}{\frac{3}{4}}=\frac{p}{1} \\ \\ \frac{\frac{6}{7}}{\frac{3}{4}}=\frac{6}{7}\div\frac{3}{4}=\frac{6}{7}\times\frac{4}{3}=\frac{8}{7} \\ \end{gathered}$

Thus the missing part is

$\frac{8}{7}$