How do you write #30/50# in simplest form?

1 Answer
Dec 10, 2016

#3/5#

Explanation:

To express the fraction in simplest form, look for a #color(blue)"common factor"# that divides into both 30 and 50.

Since both numbers have a last digit of 0, this informs us that they are divisible by 5 and 10.

In this case choose the larger factor of 10 to divide by.

#rArr30/50=(30÷10)/(50÷10)=3/5#

This is usually written.

#cancel(30)^3/cancel(50)^5=3/5larr" in simplest form"#

A fraction is in #color(blue)"simplest form"# when no other factor but 1 will divide into the numerator/denominator.