SOLUTION: can you please help me with this equation 3r divided by 4 =2 and 1 half solve and check please explain how you get the answer because i tend to have trouble with fractions

Click here to see ALL problems on Equations

Question 42584This question is from textbook
: can you please help me with this equation
3r divided by 4 =2 and 1 half
solve and check
please explain how you get the answer because i tend to have trouble with fractions This question is from textbook

Answer by jmg(22) (Show Source):
You can put this solution on YOUR website!
There are a lot of different ways to solve this problem. The best way I know to explain is as follows.
I would change 2 and 1/2 to an improper fraction (big number on top) To do this you multiply the bottom number of the fraction times the whole number (or big number) and then add the top number of the fraction. The denominator stays the same.
So 2 1/2 = 5/2
Then you have 3r/4 = 5/2. Cross multiply as you would a proportion. Multiply the bottom of the first number times the top number of the fraction on the other side. Vice versa with the other two.
So you would have 3r * 2 = 4 * 5
which would equal 6r = 20 divide both sides by 6 to get r by itself.
r = 20/6 which would reduce to 10/3
You can change it back to a mixed number by dividing 3 into 10. 3 will go into 10 3 times with a remainder of 1.
So the answer would be r = 3 and 1/3
Hope I explained it well enough!