(5/4-1/2)x(1/3+2/5)

Jasonbradley

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Jun 16, 2024

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Solving the Expression: (5/4 - 1/2) x (1/3 + 2/5)

This article will guide you through solving the expression (5/4 - 1/2) x (1/3 + 2/5). We'll break down the steps using the order of operations (PEMDAS/BODMAS) to arrive at the correct answer.

Understanding the Order of Operations

Before we begin, let's quickly review the order of operations:

• Parentheses/ Brackets
• Exponents/ Orders
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Solving the Expression

1. Simplify the expressions within the parentheses:

   • (5/4 - 1/2): To subtract fractions, they must have a common denominator. The least common denominator of 4 and 2 is 4.
     • 5/4 - 2/4 = 3/4
   • (1/3 + 2/5): The least common denominator of 3 and 5 is 15.
     • 5/15 + 6/15 = 11/15

2. Multiply the simplified expressions:

   • (3/4) x (11/15) = (3 x 11) / (4 x 15) = 33/60

3. Simplify the fraction: Both 33 and 60 are divisible by 3.

   • 33/60 = 11/20

Final Answer

Therefore, (5/4 - 1/2) x (1/3 + 2/5) = 11/20.