Solving the Expression: 1/8 divided by 1/5 + 1/2
In this article, we will evaluate the expression 1/8 divided by 1/5 + 1/2. To solve this expression, we need to follow the order of operations (PEMDAS) and perform the calculations step by step.
Step 1: Divide 1/8 by 1/5
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction.
(1/8) ÷ (1/5) = (1/8) × (5/1) = 5/8
Step 2: Add 1/2 to the result
Now, we add 1/2 to the result of the division.
5/8 + 1/2 = ?
To add these two fractions, we need a common denominator, which is 8. So, we convert 1/2 to 4/8.
5/8 + 4/8 = 9/8
The Final Result
The final result of the expression 1/8 divided by 1/5 + 1/2 is 9/8.
Therefore, we can conclude that the value of the given expression is 9/8.
