2 1/4 r = 10
A. 4 3/4
B. 4 2/5
C. 4 4/9
I having a little bit of trouble on this problem. Can you show me how to solve the problem?
2 1/4 = 9/4
9/4 r = 10
multiplying by the inverse ... r = 10 * 4/9
Thank You Scott
To solve the equation 2 1/4 r = 10, we need to isolate the variable r. Here are the steps to solve it:
Step 1: Start with the equation 2 1/4 r = 10.
Step 2: Convert the mixed number 2 1/4 to an improper fraction. Multiply the whole number (2) by the denominator (4), then add the numerator (1) to get the numerator of the improper fraction. The denominator remains the same. So, 2 1/4 can be written as (2 * 4 + 1) / 4, which is equal to 9/4.
Now the equation becomes: (9/4) r = 10.
Step 3: To isolate the variable r, divide both sides of the equation by the coefficient (9/4). When dividing by a fraction, it is equivalent to multiplying by its reciprocal. So, divide both sides by (9/4) by multiplying both sides by the reciprocal, which is 4/9.
(4/9) * (9/4) r = (4/9) * 10.
Simplifying, the fraction on the left side cancels out, leaving just r: r = 40/9.
Step 4: Express the fractional answer as a mixed number. Divide the numerator (40) by the denominator (9) to get the whole number, and the remainder becomes the numerator of the fraction. The denominator remains the same.
40 divided by 9 is 4 with a remainder of 4, so the mixed number form is 4 4/9.
Therefore, the answer is option C. 4 4/9.