(6/4+5 1/6 Of 3/7)/(5+2 1/3)

2 min read Jun 16, 2024
(6/4+5 1/6 Of 3/7)/(5+2 1/3)

Solving the Mathematical Expression: (6/4 + 5 1/6 of 3/7) / (5 + 2 1/3)

This article will guide you through the process of solving the mathematical expression: (6/4 + 5 1/6 of 3/7) / (5 + 2 1/3). We will break down the steps and use the order of operations (PEMDAS/BODMAS) to arrive at the correct answer.

Understanding the Expression

The expression consists of fractions, mixed numbers, addition, multiplication, and division. To simplify, we will follow these steps:

  1. Convert mixed numbers to fractions:
    • 5 1/6 = (5 * 6 + 1) / 6 = 31/6
    • 2 1/3 = (2 * 3 + 1) / 3 = 7/3
  2. Simplify the numerator:
    • "of" represents multiplication: 31/6 * 3/7 = 93/42
    • Simplify 6/4: 6/4 = 3/2
    • Add the simplified fractions: 3/2 + 93/42 = 63/42 + 93/42 = 156/42
  3. Simplify the denominator:
    • Add the fractions: 5 + 7/3 = 15/3 + 7/3 = 22/3
  4. Divide the numerator by the denominator:
    • (156/42) / (22/3) = (156/42) * (3/22) = 13/14

Answer

Therefore, the solution to the expression (6/4 + 5 1/6 of 3/7) / (5 + 2 1/3) is 13/14.

Related Post


Featured Posts