What is #2/3 times 7/8#?

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Answer 1 · 2016-12-05T16:23:18

#14/24# or #7/12#

To solve this following the rules for multiplying fractions you multiply the numerators and the denominators:

#2/3 xx 7/8 -> (2 xx 7)/(3 xx 8) -> 14/24#

This can be simplified by:

#14/24 -> (2/2) xx (7/12) -> 1 xx 7/12 -> 7/12#

Simplifying is often easier if the like factors are cancelled first:

#cancel2^1/3 xx 7/cancel8^4" "larr# 2 is a factor of 2 and 8

This gives the final answer immediately as

#7/12#