The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4

Solution

Follow BODMAS rule to solve this question, as per the order given below, Step-1 - Parts of an equation enclosed in 'Brackets' must be solved first, Step-2 - Any mathematical 'Of' or 'Exponent' must be solved next, Step-3 - Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, Step-4 - Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated. Now, given expression: ⇒ 3/4 ÷ 3/4 of 3/4 × 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) ⇒ 3/4 ÷ 9/16 × 4/3 + 5/2 ÷ 1/2 - (2/3 + 5/9) ⇒ 3/4 × 16/9 × 4/3 + 5 – 11/9 ⇒ 16/9 + 5 – 11/9 ⇒ 61/9 – 11/9 ⇒ 50/9