please I need help


A man spent two fifth of his salary on rent ,one-quater on food and one-eight on transport.What fraction does he have left? (a)³¹/40 (b)²³/⁴ (c)²¹/⁴⁰ (d)⁹/⁴⁰​

Respuesta :

Answer:

Hi! You just have to take his salary as a unity (one) and substract the fractions you are given. For example; lets say you have a cake (one) and then you eat 1/8 of it. You would be left with  [tex]1-\frac{1}8}[/tex] of the original cake.

Step-by-step explanation:

Salary:     [tex]1[/tex]

Spent [tex]\frac{2}{5}[/tex] :     [tex]1-\frac{2}{5}[/tex]

Spent [tex]\frac{1}{4}[/tex]:      [tex]1-\frac{2}{5} -\frac{1}{4}[/tex]

Spent [tex]\frac{1}{8}[/tex]:      [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]

REMAINING: [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]

Operate using LCM:  [tex]\frac{40-16-10-5}{40} = \frac{9}{40}[/tex]

The answer is (d)