Question

Which equation can be represented using the number line?​

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

First Equation: $\frac{3}{4} \div \frac{1}{8} =6$

Step-by-step explanation:

From the given number line we can see that there are 6 arrows/jumps of equal sizes to reach from 0 to $\frac{3}{4}$

Each small jump is equivalent to $\frac{1}{8}$. This is because from 0 to $\frac{1}{4}$ there are 2 jumps, so 1 jump will be equal to $\frac{1}{4}$ divided by 2 which is equal to $\frac{1}{8}$

From 0 to $\frac{3}{4}$, 6 jumps of $\frac{1}{8}$ are made. In other words we can say $\frac{1}{8}$ is added to itself 6 times to reach to $\frac{3}{4}$.

Adding $\frac{1}{8}$ 6 times to itself also means multiplying $\frac{1}{8}$ by 6. So we can set up the equation as:

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

Dividing both sides by $\frac{1}{8}$  we get:

$6=\frac{3}{4} \div \frac{1}{8} \\\\ or\\\\ \frac{3}{4} \div \frac{1}{8} =6$

Hence, the first equation represents the given number line.