(1/4x−3)+(3/16x+5)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (1/4x - 3) + (3/16x + 5)

This article will guide you through simplifying the given expression: (1/4x - 3) + (3/16x + 5).

Understanding the Expression

The expression involves:

• Fractions with variables: (1/4x) and (3/16x) represent terms where the variable 'x' is multiplied by a fraction.
• Constants: -3 and +5 are constant terms, representing fixed values.

Simplifying the Expression

1. Combine like terms:

   • x terms: (1/4x) + (3/16x) = (4/16x) + (3/16x) = (7/16x)
   • Constant terms: -3 + 5 = 2

2. Write the simplified expression: The simplified expression is (7/16x) + 2.

Conclusion

By combining like terms, we have simplified the expression (1/4x - 3) + (3/16x + 5) to (7/16x) + 2. This process demonstrates how to manipulate expressions involving fractions and variables to obtain a more concise representation.