Question

1/3 (q + 3) = 5 What is Q? Explain why 1/3 is a fraction

Answer 1

Answer:

q=12.

Step-by-step explanation:

1/3(q+3)=5 can be translated to (q+3)/3=5.

Multiply each side by 3 to get q+3=15.

Subtract 3 from each side to get q=12.

Can you explain what you mean by "Explain why 1/3 is a fraction?"

Answer 2

Answer:

Assuming Q is q, q = 12.  1/3 is a fraction since it is a ratio of two whole numbers.

Step-by-step explanation:

For this problem, we need to understand two things.  (1)  q is the unknown variable of this equation.  (2) The definition of a fraction is a "numerical quantity that is not a whole number" -Oxford Dictionary which can also be stated mathematically as a ratio of two whole numbers.

First, let's explain why 1/3 is a fraction.  In the numerator, we have the whole number 1, and in the denominator, we have the whole number 3.  Mathematically, 1/3 is a fraction since it is a ratio of two whole numbers.  Alternatively, we can say it's a non-whole numerical quantity.  In this case, 0.33 repeating.

Second, let's solve for our unknown variable q:

1/3 ( q + 3 ) = 5

1/3 ( q + 3 ) * 3 = 5 * 3

q + 3 = 5 * 3

q + 3 = 15

q + 3 - 3 = 15 - 3

q = 15 - 3

q = 12

Hence, the value of q is 12.

Cheers.