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math ToolUpdated 2026-09-22

Basic Math Conversion Chart

Access a comprehensive mathematical reference chart and interactive converter. Easily look up equivalents between common fractions, decimal places, percentages, millimeter lengths, and clinical nursing units (mg, mL, tsp, tbsp).

Formula & Mathematical Methodology

Decimal = Numerator ÷ Denominator | Percent = Decimal × 100 | mm = Inches × 25.4

Fractions are divided to yield exact decimal equivalents, multiplied by 100 for percentages, or multiplied by 25.4 for metric millimeter measurements.

How to Use This Basic Math Conversion Chart

  1. Select any standard fractional unit from the dropdown.
  2. View the instant decimal, percentage, and metric millimeter equivalent.
  3. Review the clinical nursing dosage and everyday measurement reference cheat sheet below.

Step-by-Step Worked Example

Scenario: Inspect 3/8 in the conversion table

1. Divide numerator 3 by denominator 8: 3 ÷ 8 = 0.375
2. Multiply by 100 for percentage: 0.375 × 100 = 37.5%
3. Calculate millimeter length: 0.375 × 25.4 = 9.525 mm
Final Calculated Result: 3/8 = 0.375 = 37.5% = 9.525 mm

What Does Your Result Mean?

Reference charts speed up mental math and eliminate rounding errors in engineering, woodworking, and nursing dosages.

Common Practical Applications:

  • Quick reference for engineers, carpenters, and machinists
  • Nursing dosage calculation exams (e.g. mL to tsp, mg to mcg)
  • Classroom math study guide for students

Important Limitations & Assumptions:

  • Fractions with denominators containing prime factors other than 2 and 5 repeat infinitely.

Frequently Asked Questions

What are essential nursing math conversions?

Key nursing conversions: 1 kg = 2.2 lbs, 1 tsp = 5 mL, 1 tbsp = 15 mL, 1 oz = 30 mL, 1 g = 1,000 mg, and 1 mg = 1,000 mcg.

Why do some fractions terminate while others repeat?

A simplified fraction terminates in base-10 if and only if its denominator has prime factors of only 2 and/or 5. Denominators with 3, 7, etc. produce repeating decimals.

What is 1/8 as a decimal and percentage?

1/8 is equal to 0.125 as a decimal and 12.5% as a percentage.