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Simplify: 610−(0.6÷103 of 0.6+7−10÷5)−0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3106​−
Question

Simplify: 610(0.6÷103 of 0.6+710÷5)0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3​​

A.

–5

B.

1

C.

0

D.

0.6

Correct option is A

Given:

610(0.6÷103 of 0.6+710÷5)0.3\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3 

Concept Used: 

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

610(0.6÷103 of 0.6+710÷5)0.3 =610(0.6÷0.2+710÷5)0.3 =610(0.3+710÷5)0.3  =610(0.3+72)0.3 =610(5.3)0.3 =0.65.6 =5\frac{6}{10} - \left( 0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 0.6 \div 0.2 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 0.3 + 7 - 10 \div 5 \right) - 0.3 \\ \ \\\\ \ \\ = \frac{6}{10} - \left( 0.3 + 7 - 2 \right) - 0.3 \\ \ \\ = \frac{6}{10} - \left( 5.3 \right) - 0.3 \\ \ \\ = 0.6-5.6 \\ \ \\ = -5​​

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