Fraction Calculation: 5 x 10 Over 12 Minus 1/2 x 9-1/2
In this article, we will solve a complex fraction calculation problem. The problem is:
5 x 10 / 12 - 1/2 x 9-1/2
To solve this problem, we need to follow the order of operations (PEMDAS):
- Multiply 5 and 10: 5 x 10 = 50
- Divide 50 by 12: 50 / 12 = 4.17 (approximately)
- Multiply 1/2 and 9-1/2: First, let's convert the mixed number 9-1/2 to an improper fraction: 9-1/2 = 19/2. Then, multiply: 1/2 x 19/2 = 19/4
- Subtract 19/4 from 4.17: To subtract a fraction from a decimal, we need to convert the decimal to a fraction: 4.17 = 417/100. Then, subtract: 417/100 - 19/4 = ?
To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 100 and 4 is 100. So, we can convert 19/4 to 475/100:
417/100 - 475/100 = -58/100
So, the final result is:
-0.58
Therefore, the solution to the problem 5 x 10 / 12 - 1/2 x 9-1/2 is -0.58.
