Fractional Decimal Equivalents

Overview

Engineering reference data for Fractional Decimal Equivalents in mathematics.

Key Formulas

Quadratic Formula

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Roots of ax² + bx + c = 0.

Pythagorean Theorem

$c^2 = a^2 + b^2$

Right triangle relationship.

Circle Area

$A = \pi r^2$

Area of a circle.

Logarithm

$\log_b(x) = \frac{\ln(x)}{\ln(b)}$

Change of base formula.

Variables

Symbol	Description	Unit
$\pi$	Pi	3.14159...
$e$	Euler's number	2.71828...

Fraction Structure and Conversion

A fraction consists of two basic parts:

• Denominator: The bottom number, representing the total number of equal parts.
• Numerator: The top number, representing how many parts are being considered.

Conversion Method

To convert a fraction to a decimal, divide the numerator by the denominator.

Example: Convert $\frac{1}{8}$ to a decimal. $\frac{1}{8} = 1 \div 8 = 0.125$

References

• Original Source