2 1/4 r =10?
2 1/4 r =10
r = 10 / (9/4)
r = 10 * (4/9)
r = 40/9 = 4 4/9
Ok but how does the 9/4 thing work?
2 * 4 = 8
8 + 1 = 9
2 1/4 = 9/4
To find the value of "r" in the equation 2 1/4 r = 10, we can follow these steps:
1. Convert the mixed number 2 1/4 into an improper fraction. To do this, multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us (2*4) + 1 = 9.
2. Rewrite the equation with the converted fraction: 9/4 r = 10.
3. To isolate "r," we need to get rid of the fraction. Multiply both sides of the equation by the reciprocal of the fraction's coefficient, which is 4/9.
(4/9) * (9/4) r = (4/9) * 10
r = (4/9) * 10
4. Simplify the expression: (4/9) * 10 = 40/9.
Therefore, the value of "r" is 40/9 when 2 1/4 r is equal to 10.