Fraction words
Area model
A rectangle split one way to show one fraction and the other way to show a second. The overlap shows their product.
To find 1/2 of 1/2, shade half of a rectangle with a vertical line, then shade half of that half with a horizontal line. The part shaded both ways is 1/4 of the whole rectangle.
Area models show why multiplying by a fraction less than one gives a smaller result: we are taking only part of an amount.
See also: Fraction
Try it in a slice
Slice 19
Multiplication Can Make Smaller
Why does multiplying by a fraction make a number smaller?
Why 1/2 × 1/2 is 1/4: multiplying by a fraction less than one takes part of an amount. · About 4 minutes