3/4 of a number is 1/2. Find the number in the lowest terms... please show work I am confused
(3/4)x = 1/2
x = (1/2) / (3/4)
x = (1/2) * (4/3)
x = 4/6 = 2/3
Thanks Ms. Sue
You're welcome, Laura.
To find the number, let's set up an equation using the given information.
We are given that 3/4 of a number is equal to 1/2.
Let's represent the number as x. The equation can be written as:
(3/4) * x = 1/2
To solve this equation, we can multiply both sides by the reciprocal of 3/4, which is 4/3. Multiplying both sides by 4/3, we have:
[(3/4) * x] * (4/3) = (1/2) * (4/3)
The 4 in the numerator and the 4 in the denominator cancel out, as well as the 3 in the numerator and the 3 in the denominator. Simplifying, we get:
x = (1/2) * (4/3)
Now, let's multiply the numerators and the denominators:
x = (1 * 4) / (2 * 3)
Simplifying, we get:
x = 4/6
To express the number in the lowest terms, we need to simplify the fraction. Both the numerator and the denominator have a common factor of 2. Dividing both the numerator and denominator by 2, we get:
x = 2/3
Therefore, the number is 2/3.