How do you simplify #30:75#?

2 Answers
Deepak G.
Sep 9, 2016

#=2/5#

Explanation:

#30-:75#

#=30/75#

#=2/5times15/15#

#=2/5#

Jim G.
Sep 9, 2016

2:5

Explanation:

Simplifying a ratio is similar to simplifying a fraction.

That is we look for a common factor that divides into both numbers and 'cancel' them,

Since 30 has 0 as it's last digit and 75 has 5 , this indicates that 5 is a common factor as 5 divides into numbers whose last digit is 0/5.

Thus #(30÷5):(75÷5)=6:15#

We can simplify further by dividing both 6 and 15 by 3.

#rArr(6÷3):(15÷3)=2:5larr" in simplest form"#

A ratio can also be expressed as a fraction and simplified by 'scoring' out the number and replacing it by the value after division.

#rArr30:75=30/75=cancel(30)^6/cancel(75)^(15)=6/15=cancel(6)^2/cancel(15)^5=2/5#

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