In a cinema, $\frac{3}{5}$ of the people watching the film are children. $\frac{3}{4}$ of the children are girls. What fraction of the people watching the film are boys?

Samara uses the following method to estimate the answer to a multiplication.

Question: Work out $\frac{3}{4}\times \frac{1}{6}$

Estimate: $\frac{3}{4}$ is greater than $\frac{1}{2}$, but less than $1$.

                $\frac{1}{2}$ of $\frac{1}{6}$ is $\frac{1}{12}$, and $1\times \frac{1}{6}=\frac{1}{6}$

So, the answer must be greater than $\frac{1}{12}$ but is smaller than $\frac{1}{6}$.

Accurate $\frac{3}{4}\times \frac{1}{6}=\frac{3}{24}=\frac{1}{8}$

$\frac{1}{8}$ is greater than $\frac{1}{12}$ but smaller than $\frac{1}{6}$.

Now, use the Samara's method to first work out the given multiplication an estimate and then to find the accurate answer.

$\frac{2}{3}\times \frac{1}{8}$

Samara uses the following method to estimate the answer to a multiplication.

Question: Work out $\frac{3}{4}\times \frac{1}{6}$

Estimate: $\frac{3}{4}$ is greater than $\frac{1}{2}$, but less than $1$.

                $\frac{1}{2}$ of $\frac{1}{6}$ is $\frac{1}{12}$, and $1\times \frac{1}{6}=\frac{1}{6}$

So, the answer must be greater than $\frac{1}{12}$ but is smaller than $\frac{1}{6}$.

Accurate $\frac{3}{4}\times \frac{1}{6}=\frac{3}{24}=\frac{1}{8}$

$\frac{1}{8}$ is greater than $\frac{1}{12}$ but smaller than $\frac{1}{6}$.

Now, use the Samara's method to first work out the given multiplication an estimate and then to find the accurate answer.

$\frac{2}{9}\times \frac{1}{4}$

Samara uses the following method to estimate the answer to a multiplication.

Question: Work out $\frac{3}{4}\times \frac{1}{6}$

Estimate: $\frac{3}{4}$ is greater than $\frac{1}{2}$, but less than $1$.

                $\frac{1}{2}$ of $\frac{1}{6}$ is $\frac{1}{12}$, and $1\times \frac{1}{6}=\frac{1}{6}$

So, the answer must be greater than $\frac{1}{12}$ but is smaller than $\frac{1}{6}$.

Accurate $\frac{3}{4}\times \frac{1}{6}=\frac{3}{24}=\frac{1}{8}$

$\frac{1}{8}$ is greater than $\frac{1}{12}$ but smaller than $\frac{1}{6}$.

Now, use the Samara's method to first work out the given multiplication an estimate and then to find the accurate answer.

$\frac{5}{8}\times \frac{4}{9}$

Copy the secret code box.

Work out the answer to each of the multiplications in the box given below.

Find the answer in the secret code box, then write the letter from the multiplications box above the answer. For example, the first multiplication is $\frac{1}{4}\times \frac{2}{3}$.

$\frac{1}{4}\times \frac{2}{3}=\frac{2}{12}=\frac{1}{6}$, so write $E$ above $\frac{1}{6}$ in the secret code box. What is the secret message?

The diagram shows a square joined to a rectangle.

What is the total area of the shape?

Complete the following:

$$\begin{gathered} \frac{1}{5}÷\frac{3}{4}=\frac{1}{5}\times \frac{4}{3} \\ =\frac{1\times 4}{5\times 3} \\ =\frac{\square }{\square } \end{gathered}$$

Complete the following:

$$\begin{gathered} \frac{2}{3}÷\frac{6}{7}=\frac{2}{3}\times \frac{7}{6} \\ =\frac{2\times 7}{3\times 6} \\ =\frac{\square }{\square } \\ =\frac{\square }{\square } \end{gathered}$$