Question

Which equation can be represented using the number line?

a) 3/4 ÷ 1/8 = 6
b) 1/8 ÷ 3/4 = 6
c) 6 ÷ 3/4 = 1/8
d) 6 ÷ 1/8 = 3/4

Answer 1

The equation that can be represented using the number line is Option D: 6 ÷ 1/8 = 3/4.

Step-by-step explanation:

The equation that can be represented using the number line is Option D: 6 ÷ 1/8 = 3/4.

To solve this equation, we can think of division as multiplication by the reciprocal. Reciprocal of 1/8 is 8/1. So, we can rewrite the equation as 6 × 8/1 = 3/4.

Multiplying 6 by 8 gives us 48. So the equation becomes 48/1 = 3/4.

Now, to solve for the unknown variable, we can set up a proportion. We can write it as 48/1 = x/4.

Cross multiplying, we get 48 × 4 = 1 × x.

Simplifying, we have 192 = x.

Therefore, the equation that can be represented using the number line is 6 ÷ 1/8 = 3/4.