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Simplify: ​1800÷(24÷8×3)+1634×(32÷2)\frac{1800 \div (24 \div 8 \times 3) + 16}{\frac{3}{4} \times (32 \div 2)}43​×(32÷2)1800÷(24÷8×3)+16​​​
Question

Simplify: 

1800÷(24÷8×3)+1634×(32÷2)\frac{1800 \div (24 \div 8 \times 3) + 16}{\frac{3}{4} \times (32 \div 2)}​​

A.

18

B.

4543\frac{454}3​​

C.

15017\frac{150}{17}​​

D.

394\frac{39}{4}​​

Correct option is A

Given: 

1800÷(24÷8×3)+1634×(32÷2)\frac{1800 \div (24 \div 8 \times 3) + 16}{\frac{3}{4} \times (32 \div 2)} 

Concept Used:

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

1800÷(24÷8×3)+1634×(32÷2) =1800÷(9)+1634×(16) =200+1612=21612=18\frac{1800 \div (24 \div 8 \times 3) + 16}{\frac{3}{4} \times (32 \div 2)} \\ \ \\ = \frac{1800 \div (9) + 16}{\frac{3}{4} \times (16)} \\ \ \\ = \frac{200 + 16}{12} = \frac{216}{12} = 18​​

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