simplify 75/8 by(1/2+2/4)
To simplify the expression (75/8) divided by (1/2 + 2/4), we need to follow the order of operations (also known as PEMDAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's simplify the expression step by step:
Step 1: Simplify the parentheses expression.
The expression inside the parentheses is (1/2 + 2/4).
To add fractions, you need to have a common denominator. The least common denominator (LCD) of 2 and 4 is 4.
1/2 = (1/2) * (2/2) = 2/4
2/4 = 2/4
Now we can combine the fractions:
1/2 + 2/4 = 2/4 + 2/4 = 4/4 = 1
Therefore, the expression simplifies to (75/8) / 1.
Step 2: Divide 75/8 by 1.
When you divide a number by 1, the value does not change:
75/8 / 1 = 75/8
So, the simplified expression is 75/8.
Therefore, the result of simplifying 75/8 divided by (1/2 + 2/4) is 75/8.