Fractions

How to Compare Fractions With Different Denominators

Compare fractions with unlike denominators using common denominators, cross-products, decimals, and benchmarks while preserving signs and exact values.

5 min read · Practical examplesRatios

How to Divide a Quantity in a Given Ratio

Divide money, measurements, and totals in a stated ratio by finding total parts, one-part value, and exact shares with rounding and unit checks.

5 min read · Practical examplesDecimals

Decimal Place Value Explained: Tenths, Hundredths, and Thousandths

Understand decimal place value to read, write, compare, expand, and round tenths, hundredths, and thousandths without confusing digits with values.

5 min read · Practical examplesRatios

Direct vs. Inverse Proportion: Formulas and Examples

Distinguish direct proportion y=kx from inverse proportion y=k/x using equations, tables, graphs, units, worked examples, and model checks.

5 min read · Practical examplesAverages

How to Find a Weighted Average From a Frequency Table

Calculate a weighted average from values and frequencies using products, total frequency, grouped-data midpoints, missing entries, and exact checks.

5 min read · Practical examplesFactors and multiples

GCF vs. LCM: Differences, Examples, and When to Use Each

Distinguish greatest common factor from least common multiple using definitions, prime factors, word-problem clues, exact examples, and verification.

5 min read · Practical examplesFactors and multiples

LCM Word Problems: When to Use the Least Common Multiple

Recognize and solve least-common-multiple word problems involving schedules, packages, denominators, rotations, and simultaneous divisibility requirements.

5 min read · Practical examplesNumber theory

How to Find the Next Prime Number

Find the smallest prime greater than a starting integer using candidate generation, square-root divisibility tests, wheel filters, and exact verification.

5 min read · Practical examplesConversions

Feet to CM: Formula, Height Examples, and Conversion Chart

Convert feet to centimeters with the exact 30.48 factor, work with feet and inches, check common heights, and avoid decimal-foot notation mistakes.

6 min read · Practical examplesConversions

Inches to Feet: Decimal Feet and Feet-and-Inches Examples

Convert inches to feet by dividing by 12, separate whole feet and remaining inches, handle fractional measurements, and verify results with examples.

6 min read · Practical examples