Question

What is the solution of 1/3b = 4

Answer 1

b=12

Explanation:

To solve this equation, we need to get b isolated on one side of the equation. Perform the inverse operation to both sides of the equation.

1/3b=4

1/3 and b are being multiplied (1/3 * b=1/3b). The inverse of multiplication is division. Divide both sides by 1/3.

1/3b / 1/3= 4/ 1/3

When dividing by a fraction, you can multiply by the reciprocal of the fraction. To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

1/3--> 3/1=3

3*1/3b= 4*3

b=4*3

b=12

Let's check our solution. Substitute 12 in for b in the original equation.

1/3b=4

1/3*12=4

4=4

The statement above is true, so we know our solution is correct.

Answer 2

b = 12

Explanation:

To do this, we simply just divide both sides by 1/3. When we do so, we find our answer to be 12.