How do you know if the quotient of $\frac{5}{6} \div \frac{2}{3}$ is less than or greater than 1, without dividing?

Explain why a product can be written as a repeated addition.

Differentiate between a proper fraction and an improper fraction.

In the example below, assume Akiva cut $\frac{1}{4}$ of the remaining grass. Could we use Pattern Blocks to model the problem? Explain your answer.

Example : Sandi cut $\frac{2}{3}$ of the grass on a lawn. Akiva cut $\frac{1}{2}$ of the remaining grass. What fraction of the lawn did Akiva cut? A Solution Use Pattern Blocks. Let the yellow hexagon represent the lawn. 6 green triangles cover the yellow hexagon. So, 6 green triangles also represent the lawn. 4 green triangles represent the grass cut by Sandi. 2 green triangles represent the remaining grass. Akiva cut $\frac{1}{2}$ of the remaining grass. One-half of the remaining grass is 1 green triangle. One green triangle represents $\frac{1}{6}$. So, $\frac{1}{2} \times \frac{1}{3}=\frac{1}{6}$ Akiva cut $\frac{1}{6}$ of the lawn.

Write each multiplication statement as repeated addition. Sketch a picture to display each product.

a) $4 \times \frac{1}{8}$

b) $7 \times \frac{3}{5}$

c) $\frac{5}{6} \times 3$

d) $\frac{2}{9} \times 6$

Create a number line to divide: $5 \div \frac{5}{6}$

How is dividing mixed numbers the same as dividing fractions?

Write each multiplication statement as repeated addition. Sketch a picture to display each product.

a) $4 \times \frac{1}{8}$

b) $7 \times \frac{3}{5}$

c) $\frac{5}{6} \times 3$

d) $\frac{2}{9} \times 6$

Indicate whether the following statement is true or false.

If two lines are perpendicular, and they have slopes $m_1$ and $m_2$. then $m_1 m_2=-1$.

Which neurotransmitter is known as the mood regulator?

If $f(x)=6 x-4,$ find each function value. $f(-9)$

Use a calculator to evaluate the expression. Write the answer in scientific notation, $c \times 10^{n}$, with c rounded to two decimal places.

$$0.0000000452 \div 767$$

Write as an algebraic expression.

the sum of a and b, divided by 2

If f(x) = 3x - 9, find the function value. f(22)