Question

A chemical consists of four compounds,A,B,C and D. 1 2 and D. 1/6 is A,2/5 is B,1/10 is C and the rest is D.What fraction of the chemical is D?​

Answer 1

D = ⅓

Explanation:

Given the following data;

A = ⅙

B = ⅖

C = ⅒

To find what fraction of the chemical is D;

The sum of all the fractions of the chemical compound must be equal to one (1).

A + B + C + D = 1

Substituting the values, we would have;

⅙ + ⅖ + ⅒ + D = 1

Lowest common multiple (LCM) = 30

`\frac {5 + 12 + 3}{30} + D = 1`

`\frac {20}{30} + D = 1`

⅔ + D = 1

D = 1 - ⅔

Lowest common multiple (LCM) = 3

`D = \frac {3 - 2}{3}`

`D = \frac {1}{3}`

D = ⅓