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Basic Algebra Calculator With Fractions And Decimals

Calculation Formula:

\[ \frac{a}{b} + c.d = \frac{a}{b} + c + \frac{d}{10} = \frac{a + b \times (c + \frac{d}{10})}{b} \]

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unitless (0-9)

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1. What is This Calculator For?

This calculator helps solve basic algebra problems involving fractions and decimals. It computes the sum of a fraction (a/b) and a decimal (c.d) using the formula:

\[ \frac{a}{b} + c.d = \frac{a}{b} + c + \frac{d}{10} = \frac{a + b \times (c + \frac{d}{10})}{b} \]

2. How Does the Calculator Work?

The calculator performs the following steps:

  1. Converts the decimal part (d) to its fractional equivalent (d/10)
  2. Adds the whole number part (c) to the fractional part
  3. Multiplies this sum by the denominator (b)
  4. Adds the numerator (a)
  5. Divides the total by the denominator (b)

3. Importance of the Calculation

Details: Understanding how to combine fractions and decimals is fundamental in algebra and appears in various real-world applications like measurements, financial calculations, and scientific computations.

4. Using the Calculator

Tips: Enter all required values:

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q2: How precise is the result?
A: Results are rounded to 4 decimal places for readability.

Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative values for a, b, and c.

Q4: What's the maximum value I can enter?
A: There's no strict limit, but extremely large numbers may cause precision issues.

Q5: Can this handle repeating decimals?
A: No, this calculator only handles single-digit decimal fractions (0-9).

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