Curriculum placement
Grade 5. This describes the skill, not a learner estimate.
Multiplying fractions
Multiply fractions and interpret scaling
Problem types
- Multiply fractions
- Decide whether a product is greater than a factor
- Judge whether multiplying increases or decreases
- Scale a whole amount
- Fractions of a whole, then the rest or the periods
Builds on
- Generating equivalent fractions
- A fraction times a whole number
- Adding and subtracting from a line plot · Useful idea
Finding a fraction of a plotted amount multiplies a fraction by a measure.
- Adding and subtracting mixed numbers · Useful idea
Converting a mixed number to an improper fraction lets you multiply by multiplying numerators and denominators.
- Fractions of an area · Earlier idea
Cutting a region into equal parts and taking some of them models a fraction of a fraction, which is a product.
Leads to
- Dividing fractions
- Volume with fractional edge lengths
- Area of triangles and other polygons
- Circumference and area of a circle
- Arc length and sector area
- The multiplication rule for probability
- Independence and mutual exclusion · See it applied
The probability of two independent events is the product of their probabilities, a product of fractions.
Related skills
- Percent of a number · Related idea
A fraction of a whole and a percent of a whole both pick a part of the same total. A percent is a fraction with denominator 100, and the rest of the whole is found by subtraction either way.
- Tenths and hundredths as decimals · Shared foundations
- Adding and subtracting unlike fractions · Shared foundations
- Comparing fractions with benchmarks · Shared foundations
Open the interactive map to explore lessons and skill connections.