1/2 is multiplied by a fraction and the product is 3/8. What is the fraction
(1/2)x = 3/8
x = (3/8) / (1/2)
x = (3/8) * 2
x = 6/8 = 3/4
1/2 and 3/8
for the numerator, what can be multiplied by 1 to get 3?
for the bottom number of the fraction, what can be multiplied by 2 to get 8?
Thanks!
To solve this problem, we can set up an equation and solve for the unknown fraction. Here's how:
Let's assume the unknown fraction is represented as a/b, where 'a' and 'b' are integers and b is not equal to zero.
According to the problem, 1/2 is multiplied by this fraction, which gives us (1/2) * (a/b).
The product of these two fractions is 3/8, so we can write the equation as:
(1/2) * (a/b) = 3/8.
To solve for the fraction (a/b), we can cross multiply:
1 * a = 2 * (3/8).
Simplifying the right side of the equation, we have:
a = 6/8.
Since a is the numerator, and the numerator should be an integer, we need to simplify 6/8 to its simplest form. Both 6 and 8 are divisible by 2, so we can divide both of them by 2:
(6 ÷ 2) / (8 ÷ 2) = 3/4.
Thus, the fraction that satisfies the given condition is 3/4.