Question

A 3m ribbon is cut into two pieces.The shorter length measures 0.75m.Write the ratio of the shorter length to the longer length in the simplest form a:b,where a and b are both integers.

Answer 1

1:3

Explanation:

3 m - .75 m = 2.25 m Find the length of the longer piece.

.75:2.25 Ratio in un-simplified form

`(.75)/(2.25)` Write it as a fraction.

`(75)/(225)` Multiply the numerator and denominator by 100 to remove the decimal.

`(3)/(9)` Divide the numerator and denominator by 25.

`(1)/(3)` Simplify further by dividing the numerator and denominator by 3.

1:3 Convert back to ratio form.