Fractions & Decimals

34 problem types

Part-Whole Fraction Reasoning

Fractions require equal partitioning of the whole FractionsGeometry
Recover the whole from a fractional part FractionsOperations
Split a whole into proper-fraction portions FractionsOperations
The whole is one; find the remaining fraction Fractions
A fraction is a count of unit fractions Fractions
A fraction of a quantity equals whole times fraction Fractions
Bouncing ball: repeated fraction-ratio heights Fractions
Find the whole from a fractional part Fractions
Fraction of a quantity by multiplying Fractions
Map length equals real distance times scale FractionsMeasurement & data
Sum fractional parts of a whole Fractions
Whole as 1: find remaining fraction Fractions
Get the whole from a fractional part Number systemRatiosExpressions

Compare Fractions and Decimals by Structure

Compare fractions sharing numerator or denominator Fractions
Find fractions between two on the number line Fractions
Match fraction forms to compare sizes Fractions
Same numerator: smaller denominator is larger Fractions
Common denominators reveal fraction order Fractions
Compare decimals from the highest place down Fractions
Compare the next digit to fill a blank in decimals Fractions
Match denominators or numerators to compare Fractions
Smaller denominator means larger unit fraction Fractions
Find the extreme decimal satisfying an inequality Base-ten numbersFractions
Smaller difference means fractions are closer Fractions

Equivalent Fractions by Scaling

Apply conditions step by step, then count Fractions
Scaling numerator and denominator keeps value Fractions

Ratio, Rate and Percent

A percent is a rate out of 100 Ratios
A rate gives the area of a part RatiosGeometry
A rate is the ratio written as a number RatiosExpressions
Population density is people over area Ratios
Speed is distance over time Ratios
Concentration is salt over solution Ratios
Discount rate is the discount over the original price Ratios
Interest rate is interest over principal Ratios