Answer: R = 0.75, 9/12, and/or **9/24**
Step-by-step explanation: To solve for r, we can subtract 2/3 from both sides of the equation.
3/8 = r + 2/3
3/8 - 2/3 = r
We can then multiply both sides of the equation by the common denominator of 24 to get rid of the fractions.
(3/8) * 24 = (r) * 24
18/24 = r
Therefore, r = 9/12.
We can also solve for r by isolating r on the left-hand side of the equation.
3/8 = r + 2/3
r = 3/8 - 2/3
r = (3 * 3) / (8 * 3) - (2 * 8) / (3 * 8)
r = 9/24 - 16/24
r = 9/24 - (16 - 9)/24
r = 9/24 - 7/24
r = **9/24**
Also 9/12 =0.75 so R = 0.75
9/12 is equal to 0.75 because 9/12 is a fraction and 0.75 is a decimal. Fractions and decimals represent the same thing, but in different ways.
A fraction represents a part of a whole. For example, 9/12 represents 9 out of 12 slices of pie. A decimal represents a number that is a multiple of 10. For example, 0.75 represents 75 out of 100.
To convert a fraction to a decimal, we divide the numerator by the denominator. In this case, we would divide 9 by 12.
9 / 12 = 0.75
Therefore, 9/12 is equal to 0.75.
Another way to think about it is that 9/12 is equivalent to 75%. 75% is equal to 75 out of 100, which is equal to 0.75.
Therefore, 9/12 is equal to 0.75 because they represent the same thing, but in different ways.