this is a multiple choice question.
How can you clear the equation (x/3) + 1 = (1/6) of fractions?
a) multiply each term by 3.
b) multiply each term by 6.
c) divide each term by 6.
d) divide each term by 18.
e) divide each term by 3.
I choose A but I got it wrong
that's because (1/6)*3 = 1/2
You have not cleared all the fractions.
so what should I do?
I did:
(x/3)+1=(1/6)
(x/3)+1-1=(1/6)-1
(x/3)=(-5/6)
(3x/3)=3(-5/6)
x=(-5/2)
this is why I chose A
multiply by 6.
x/3 * 6 = 2x
1/6 * 6 = 1
Now there are no more fractions left.
Your solution is correct, but you did not clear the fractions. Multiplying by 6 instead of 3, gives you
2x + 6 = 1
thanks oobleck
To clear the equation of fractions, you need to eliminate the denominators. Let's go through the options to determine the correct choice.
a) Multiply each term by 3:
If you multiply each term by 3, the equation becomes 3(x/3) + 3(1) = 3(1/6). The left side simplifies to just x + 3, while the right side becomes 3/6 or 1/2. Therefore, the equation becomes x + 3 = 1/2, but this is not the correct form to eliminate fractions.
b) Multiply each term by 6:
By multiplying each term by 6, the equation becomes 6(x/3) + 6(1) = 6(1/6). On the left side, the denominators simplify to just 2x + 6, while the right side becomes 1. This gives us 2x + 6 = 1, which is not the correct equation.
c) Divide each term by 6:
Dividing each term by 6 gives us (x/3) + 1/6 = 1. This doesn't eliminate the fractions since we still have denominators.
d) Divide each term by 18:
Dividing each term by 18 leads to (x/3) + 1/18 = 1/18. This also doesn't eliminate the fractions.
e) Divide each term by 3:
When you divide each term by 3, the equation becomes (x/3)/3 + 1/3 = 1/3. Simplifying the left side gives us x/9 + 1/3 = 1/3. Now we have eliminated fractions, and the equation is in the correct form.
Therefore, the correct answer is option e) - divide each term by 3.