What other words indicate addition, subtraction, multiplication, and division?

In the previous examples, the quotient is less than the dividend; that is, $\frac{1}{6}<\frac{1}{2}$, while the other quotient is greater than the dividend; that is, $8 \frac{1}{3}>5$. Why, in your opinion, does this happen?

Differentiate between a proper fraction and an improper fraction.

Why is it relevant to estimate to check the product?

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

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.

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.

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

Perform the addition or subtraction and simplify. $u+1+\frac{u}{u+1}$

Perform the subtraction.

$$\frac{y+11}{y-2}-\frac{y-5}{y-2}=$$

Perform the addition or subtraction and simplify.

$$\frac{3}{x-1}-5$$

Solve and check each subtraction equation. v - 14.4 = -20.5

Write a subtraction problem with a difference of

$$- \frac { 2 } { 3 }.$$