Desmos Calculator Fractions Comparison Table

Fractions Comparison Table:

\[ \frac{a}{b} \quad vs \quad \frac{c}{d} \quad vs \quad \frac{e}{f} \]

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Fraction 1 (a/b):

Fraction 2 (c/d):

Fraction 3 (e/f):

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1. What is a Fractions Comparison Table?

The Fractions Comparison Table allows you to compare the decimal equivalents of three different fractions side by side. This is useful for mathematical analysis, educational purposes, and practical applications where relative values matter.

2. How Does the Calculator Work?

The calculator computes the decimal value of each fraction:

\[ \text{Fraction 1} = \frac{a}{b} \] \[ \text{Fraction 2} = \frac{c}{d} \] \[ \text{Fraction 3} = \frac{e}{f} \]

Where:

\( a, c, e \) — Numerators (unitless)
\( b, d, f \) — Denominators (unitless, must be non-zero)

Explanation: The calculator divides each numerator by its corresponding denominator to get the decimal representation of each fraction.

3. Importance of Comparing Fractions

Details: Comparing fractions is fundamental in mathematics, helping to understand proportions, ratios, and relative magnitudes. It's essential in fields like engineering, finance, and science.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators must be non-zero. Results are shown as decimal equivalents rounded to 4 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero for a denominator?
A: The calculator will not compute results if any denominator is zero (division by zero is undefined).

Q2: Can I compare more than three fractions?
A: This calculator compares three fractions at a time. For more comparisons, you can run multiple calculations.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability, but calculations use full precision internally.

Q4: Can I use negative numbers?
A: Yes, both numerators and denominators can be negative (except denominators cannot be zero).

Q5: How is this related to Desmos?
A: This provides a numerical comparison that can complement visual representations in graphing calculators like Desmos.