Number guides

Plain-language explanations, reliable formulas, and worked examples that help you understand the answer—not merely copy it.

Conversions

Feet per Second to MPH and M/S: Formula, Examples, and Motion Guide

Convert feet per second to miles per hour and meters per second using exact international-foot relationships, practical examples, and clear measurement limits.

6 min read · Practical examples
Technology

File Size vs. Disk Space: Bytes, Allocation Units, and Storage Conversion

Understand why a file's logical byte size can differ from its space on disk, how allocation units work, and where decimal and binary conversions fit.

6 min read · Practical examples
Fractions

How to Add and Subtract Fractions With Unlike Denominators

Add and subtract fractions with different denominators by finding a common denominator, rewriting equivalent fractions, simplifying, and checking the result.

6 min read · Practical examples
Ratios

How to Calculate a Ratio From Two Numbers

Calculate, simplify, scale, and interpret a ratio from two numbers while preserving order, units, zero cases, and part-to-part versus part-to-whole meaning.

6 min read · Practical examples
Decimals

How to Round Decimals to the Nearest Tenth, Hundredth, and Thousandth

Round decimals to tenths, hundredths, or thousandths by locating the rounding digit and handling ties, carrying, trailing zeros, and negatives.

6 min read · Practical examples
Ratios

How to Set Up and Solve Proportions From Word Problems

Translate proportion word problems into ordered equivalent ratios, solve the missing value, track units, test assumptions, and verify the answer in context.

6 min read · Practical examples
Averages

How to Calculate a Weighted Average Grade

Calculate a weighted course grade, normalize incomplete weights, handle missing work, and distinguish estimates from official grades.

6 min read · Practical examples
Factors and multiples

How to Find the GCF Using Prime Factorization

Find the greatest common factor by decomposing integers into primes, selecting shared factors with the lowest exponents, and verifying the result.

6 min read · Practical examples
Factors and multiples

How to Find the LCM Using Prime Factorization

Find the least common multiple by decomposing integers into primes, selecting every required factor at its highest exponent, and verifying divisibility.

6 min read · Practical examples
Number theory

How to Find the Prime Factorization of a Number

Break a positive integer into a unique product of prime factors using divisibility tests, repeated division, factor trees, exponents, and exact verification.

6 min read · Practical examples