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Simplify the following:​237+1135−313152 \frac{3}{7} + \frac{11}{35} - 3\frac{13}{15}273​+3511​−31513​​​
Question

Simplify the following:

237+1135313152 \frac{3}{7} + \frac{11}{35} - 3\frac{13}{15}​​

A.

1131051\frac{13}{105}​​

B.

113105-1\frac{13}{105}​​

C.

13105-\frac{13}{105}​​

D.

13105\frac{13}{105}​​

Correct option is B

Given: 

237+1135313152 \frac{3}{7} + \frac{11}{35} - 3\frac{13}{15} 

Concept Used:

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

237+113531315 =177+11355815 =8535+11355815 =96355815 =288406105 =118105=1131052 \frac{3}{7} + \frac{11}{35} -3\frac{13}{15} \\ \ \\ = \frac{17}{7} + \frac{11}{35} - \frac{58}{15}\\ \ \\ = \frac{85}{35} + \frac{11}{35} - \frac{58}{15} \\ \ \\ =\frac{96}{35}-\frac{58}{15} \\ \ \\ = \frac{288 -406}{105} \\ \ \\ =-\frac{118}{105}=-1\frac{13}{105}​​

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