How do you find the product #1/3 times 3/7#?

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Answer 1 · 2016-12-30T16:45:59

You find the product by using the rule for multiplying fractions. See the full explanation below.

The rule for multiplying fractions is to multiply the numerators and denominators separately:

#color(red)(a)/color(blue)(c) xx color(red)(b)/color(blue)(d) = color(red)(a xx b)/color(blue)(c xx d)#

Substituting the fractions we were given results in:

#color(red)(1)/color(blue)(3) xx color(red)(3)/color(blue)(7) = color(red)(1 xx 3)/color(blue)(3 xx 7)#

We an now cancel the common terms:

#color(red)(1 xx cancel(3))/color(blue)(cancel(3) xx 7)#

Resulting in:

#color(red)(1)/color(blue)(7)#