Writing Ratios As Fractions/Proportions

Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/3 of the drink is apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answer 1

A = 1/3, O = 1/2, C= 1-1/3-1/2 = 1/6

C:A:O = 1/6:1/3:1/2 = 1:2:3

take 1/6, 1/3 and 1/2, multiply by LCD, the least common denominator, 6

1/6 x 6= 1

1/3 x 6 = 2

1/2 x 6 = 3

Answer 2

Fraction of Apple Juice + Fraction of Orange Juice + Fraction of Cranberry Juice = 1

1/3 + 1/2 + x = 1

Solve for x to get the fraction of Cranberry Juice. Leave the answer as a fraction (not a decimal). Once you have the fraction for x, the ratio of Cranberry to Apple Juice is:

x / (1/3)

Simplify the resultant fraction to its simplest form. Again, leave it in fraction form, not decimal.