3/5 ÷ 7 Find the quotient?

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Answer 1 · 2018-02-17T07:06:46

#3/35#

The Quotient is the answer to a division.

#3/5 div 7/1" "larr#multiply by the reciprocal

#=3/5 xx1/7#

#= 3/35 # is the quotient.

Answer 2 · 2018-02-17T07:15:57

#3/35#

When you divide #3//5# by #7#, you can think of it as making that #3//5# 7 times smaller.

If #1//5# is what we get when we take a whole and chop it up into 5 equal pieces:

![https://www.mathsisfun.com/http://fractions-interactive.html](https://useruploads.socratic.org/W9tjDW2dQMyagXmkvxxr_fifth.png)

Then #1//(5*7)# or #1//35# is the value we get when we take #1//5# and divide it into #7# pieces:

![https://www.mathsisfun.com/http://fractions-interactive.html](https://useruploads.socratic.org/pzM8pJPTTqGRph0KFkni_thirty-fifth.png)

And, of course, we have 3 of these divided pieces, giving us a total of #3*1//35=3//35#.