What is the the value of (2/3) divided by (4/5)?
To find the value of (2/3) divided by (4/5), you can follow these steps:
Step 1: Flip the second fraction.
Divide the numerator (top number) of the first fraction by the denominator (bottom number) of the second fraction, and vice versa.
So, (2/3) divided by (4/5) can be written as (2/3) multiplied by (5/4), since dividing by a fraction is the same as multiplying by its reciprocal.
Step 2: Multiply the fractions.
Multiply the numerators (top numbers) to get the new numerator, and multiply the denominators (bottom numbers) to get the new denominator.
(2/3) multiplied by (5/4) is equal to (2 * 5) / (3 * 4) = 10/12.
Step 3: Simplify the fraction, if possible.
The fraction 10/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 2.
Dividing 10 and 12 by 2, we get:
10/2 = 5
12/2 = 6
So, 10/12 can be simplified to 5/6.
Therefore, the value of (2/3) divided by (4/5) is equal to 5/6.