Question

a man let 5 by 12 of his money to his wife 4 by 9 to his son , and the rest to his daughter. what fraction of the money was left to the daughter​

Answer 1

i hope this will help you

Answer 2

Answer:

$\frac{5}{36}$

Step-by-step explanation:

Money Given to wife -

$\frac{5}{12} \\ multiplying \: 3 \: with \: the \: numerator \: and \: the \: denominator \\ \frac{5 \times 3}{12 \times 3} = \frac{15}{36}$

Money Given to son -

$\frac{4}{9} \\ multiplying \: 4 \: with \: numerator \: and \: the \: denominator \\ \frac{4 \times 4}{9 \times 4} = \frac{16}{36}$

Let the total money be x, Then Money left to daughter -

$x - ( \frac{15x}{36} + \frac{16x}{36} ) \\ = > x - ( \frac{15x + 16x}{36} ) \\ = > x - ( \frac{31x}{36} ) \\ = > \frac{36x - 31x}{36} \\ = > \frac{5x}{36}$

Hence fraction of money left with daughter is -

$\frac{5}{36}$