How many times does 18 go into 60?

2 Answers
Oct 10, 2016

18 goes into 60 three times, with a remainder of 6.
This can be written as #3 1/3#

Explanation:

This is the same as asking. What is #60 div 18?#

"How many groups of 18 can you get from 60?"

Look at the first multiples of 18:

#18, 36, 54" "larr# these are the only ones which are less than 60.

18 can do into 60 three times and there willstill be 6 left over.

We can write this as a fraction:

#60/18 = 3 6/18 = 3 1/3#

We can do this as a divide as well:

#color(white)(xxxx)3 ""# rem 6
# 18| bar60#.
#color(white)(xxx)ul54#
#color(white)(xxxx)6#

Oct 11, 2016

Giving #3 1/3#

Explanation:

The test for divisibility by 3 is that the sum of the digits has to be divisible by 3.

Testing #18-> 1+8 = 9" and "9-:3 # has no remainder
Testing #60->6+0=6" and "6-:3 # has no remainder

So both numbers have the common denominator of 3. Lets try and use that.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write as #(60-:3)/(18-:3) =(20-:2)/(6-:2) = 10/3#

Giving #3 1/3#