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

Jasonbradley

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Jun 16, 2024

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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.