Question

Do this in a simple way.41th

Answer 1

Answer:-

According to BODMAS rule we can solve it first in,

B - bracket

O - of

D - Division

M - Multiplication

A - Addition

S - Subtraction.

$\frac{2}{5} + 2 \frac{4}{9} { \div ((7 \frac{5}{12} - 5 \frac{3}{4} ) \div 22 \frac{1}{2} + 10 \times \frac{5}{18} )}\\ \\ = \frac{2}{5} + \frac{22}{9} \div( ( \frac{89}{12} - \frac{23}{4} ) \div \frac{45}{2} + \frac{50}{18} ) \\ \\ = \frac{18 + 110}{45} \div ( \frac{89 - 69}{12} \div \frac{45}{2} + \frac{50}{18} ) \\ \\ = \frac{128}{45} \div ( \frac{20}{12} \div \frac{45}{2} + \frac{50}{18} ) \\ \\ = \frac{128}{45} \div ( \frac{20}{12} \times \frac{2}{45} + \frac{50}{18} ) \\ \\ = \frac{128}{45} \div ( \frac{2}{27} + \frac{25}{9} ) \\ \\ = \frac{128}{45} \div ( \frac{2 + 125}{7} ) \\ \\ = \frac{128}{45} \div \frac{127}{27} \\ \\ = \frac{128}{45} \times \frac{27}{127} \\ \\ = \frac{384}{635}$

(If we simplify it we will get the answer)