Connect fraction multiplication with equal groups and parts of a whole. Choose a fraction multiplied by a whole number, two fractions, or a signed-fraction extension.
Work at one level long enough to explain the meaning of the product. A matching answer key helps check simplified results, while the working space can hold repeated addition, an area model, or a written calculation.
Free to use · Matching answer key · No sign-up
Try these example questions. Show your thinking.
Choose your settings to create a fresh set with matching answers.
Three groups of 2/5 give 2/5 × 3 = 6/5 = 1 1/5. The product can be greater than one even when the original fraction is less than one. This is a fourth-grade starting point.
For 3/4 × 2/3, multiply the numerators and denominators to get 6/12 = 1/2. An area model with four columns and three rows has twelve equal cells; the overlap of three columns and two rows covers six cells.
A positive number multiplied by a positive fraction less than one becomes smaller. Multiplication does not always make a number bigger. General fraction-by-fraction work is a fifth-grade focus; signed rational products are a seventh-grade extension.
Simplify equivalent factors before multiplying when it helps, but keep the multiplication structure intact. A denominator of zero is never valid. For signed questions, decide the sign of the product and then check the magnitude.