What is #16/64# simplified?

4 Answers
Apr 10, 2016

#16/64=1/4#

Explanation:

Simplify:

#16/64#

Both the numerator and denominator can be divided by #16#.

#(16-:16)/(64-:16)=1/4#

Apr 26, 2017

If you get really stuck you can always try this type of approach.

Explanation:

Lets do it in stages

Observe that both the top and bottom numbers are even. So we may divide by 2.

For multiply and divide; what you do to the bottom you do to the top

#(16-:2)/(64-:2) = 8/32#

Again they are both even so we have:

#(8-:2)/(32-:2) = 4/16#

#(4-:2)/(16-:2) = 2/8#

#(2-:2)/(8-:2)=1/4#
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It is much faster if you spot that #4xx16=64# so that you have

#(16-:16)/(64-:16)=1/4#

Apr 29, 2017

A = #1/4#

Explanation:

Find a common divisor:

= #(16/16) / (64/16)#
= #1/4#

Apr 30, 2017

See the solution process below:

Explanation:

We can rewrite this expression as:

#16/64 => (16 xx 1)/(16 xx 4)#

Now, we can cancel common terms in the numerator and denominator:

#(16 xx 1)/(16 xx 4) => (color(red)(cancel(color(black)(16))) xx 1)/(color(red)(cancel(color(black)(16))) xx 4) => 1/4#

#16/64 = 1/4#