How do you simplify 30:75?
2 Answers
Sep 9, 2016
Explanation:
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
