Question

Which number should be multiplied on both sides to solve for t if t ÷ 4 = 6?

A) 1/4
B) 1/6
C) 4
D) 6

Answer 1

To isolate t in the equation t ÷ 4 = 6, we must multiply both sides by ¼. This gives us the final value of t as 1.5.

Step-by-step explanation:

To solve for t in the equation t ÷ 4 = 6, we need to isolate the variable t. To do this, we multiply both sides by the reciprocal of the number we are currently dividing by, which is 4. The reciprocal of 4 is ¼. Therefore, the correct number to multiply on both sides of the equation is ¼ (Option A).

Following this operation, the equation becomes:

• t ÷ 4 × ¼ = t × (1 ÷ 4) × (¼) = t
• 6 × ¼ = 6 ÷ 4 = 1.5

So, the final value of t is 1.5 after multiplying both sides by ¼.