what is 2 1/4 r = 10?
To solve the equation 2 1/4r = 10, we need to isolate the variable "r" on one side of the equation. Let's break it down step by step:
Step 1: Convert the mixed number to an improper fraction:
2 1/4 can be written as (2 * 4 + 1) / 4 = 9/4.
Step 2: Rewrite the equation:
9/4r = 10.
Step 3: Multiply both sides of the equation by the reciprocal of 9/4, which is 4/9:
(r * 9/4) * (4/9) = 10 * (4/9).
On the left side, the 4s cancel out, and on the right side, the 9s cancel out:
r = (10 * 4) / 9.
Step 4: Simplify the right side of the equation:
r = 40/9 = 4 4/9.
Therefore, the solution to the equation 2 1/4r = 10 is r = 4 4/9.