how to solve 2/3+5/6=
Rewrite with a common denomimator as
4/6 + 5/6.
Then add the numerators, giving you 9/6.
Finally, reduce to lowest terms: 3/2.
Solve the equation for the indicated variable.
U = mgh, for h
To solve the equation 2/3 + 5/6, we need to find a common denominator and then add the fractions together. Here's how to do it step by step:
Step 1: Find the common denominator
The common denominator is the smallest number that both denominators, 3 and 6, can both divide into evenly. In this case, the common denominator is 6.
Step 2: Convert the fractions
To convert the fractions, multiply the numerator and denominator of each fraction by the same value that makes the denominator equal to the common denominator. Since the first fraction has a denominator of 3 and we want to make it equal to 6, we multiply the numerator and denominator by 2. For the second fraction, since the denominator is already 6, we don't need to do anything.
2/3 = (2 * 2) / (3 * 2) = 4/6
5/6 = 5/6
Step 3: Add the fractions
Now that both fractions have the same denominator (6), we can add them together. Simply add the numerators together and keep the denominator the same.
4/6 + 5/6 = 9/6
Step 4: Simplify the fraction (if necessary)
In this case, the resulting fraction, 9/6, is an improper fraction because the numerator is larger than the denominator. We can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 9 and 6 is 3.
9/6 = (9 ÷ 3) / (6 ÷ 3) = 3/2
So the solution to the equation 2/3 + 5/6 is 3/2.