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    Simplify: ​114+18.75−1226−7690.6×8.7−6.98×10.9\frac{1\frac{1}{4} + 18.75 - 12\frac{2}{6} - 7\frac{6}{9}}{0.6 \times 8.7 - 6.98 \times 10.9}0.6×8.7−6.9
    Question

    Simplify: ​114+18.7512267690.6×8.76.98×10.9\frac{1\frac{1}{4} + 18.75 - 12\frac{2}{6} - 7\frac{6}{9}}{0.6 \times 8.7 - 6.98 \times 10.9}

    ​​

    A.

    1.6

    B.

    0

    C.

    1

    D.

    0.75

    Correct option is B

    Given: ​

    114+18.7512267690.6×8.76.98×10.9\frac{1\frac{1}{4} + 18.75 - 12\frac{2}{6} - 7\frac{6}{9}}{0.6 \times 8.7 - 6.98 \times 10.9}​​

    Concept Used:

    Operation preference wise

    Symbol

    Brackets

    [], {}, ()

    Orders, of

    x (power), √ (root), of

    Division

    ÷

    Multiplication

    ×

    Addition

    +

    Subtraction

    -

    Solution: 

    114+18.7512267690.6×8.76.98×10.9 =54+18.757466990.6×8.76.98×10.9 =1.25+18.75200.6×8.76.98×10.9 =20200.6×8.76.98×10.9 =00.6×8.76.98×10.9 =0\frac{1\frac{1}{4} + 18.75 - 12\frac{2}{6} - 7\frac{6}{9}}{0.6 \times 8.7 - 6.98 \times 10.9} \\ \ \\ = \frac{\frac{5}{4} + 18.75 - \frac{74}{6} - \frac{69}{9}}{0.6 \times 8.7 - 6.98 \times 10.9}\\ \ \\ = \frac{1.25 + 18.75 - 20}{0.6 \times 8.7 - 6.98 \times 10.9}\\ \ \\ = \frac{20 - 20}{0.6 \times 8.7 - 6.98 \times 10.9}\\ \ \\ = \frac{0}{0.6 \times 8.7 - 6.98 \times 10.9} \\ \ \\ =0​​

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