Brent divided 3 1/5 by a number and got 4 1/2. What number did he divide by?
(3 1/5) / x = 4 1/2
Multiply both sides by x
3 1/5 = 4 1/2x
(16/5) / (9/2) = x
(16/5) * (2/9) = x
32/45 = x
32/45
3 1/5 and got 4 1/2 whats the other #
To find the number that Brent divided by, we can set up and solve an equation.
First, let's convert the mixed numbers into improper fractions:
3 1/5 = (3 * 5 + 1) / 5 = 16/5
4 1/2 = (4 * 2 + 1) / 2 = 9/2
Now, we can set up the equation:
(16/5) ÷ x = 9/2
To solve for x, we can cross-multiply:
(16/5) * 2 = (9/2) * x
32/5 = 9x/2
Next, we can simplify the equation by multiplying both sides by 5 to eliminate the fractions:
32 = (9x * 5) / 2
32 = 45x / 2
To isolate x, we can multiply both sides by 2/45:
32 * 2/45 = x
64/45 = x
Therefore, the number that Brent divided by is 64/45.