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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
Which of the following is not true?
  • A
    $\frac{10}{11}+\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
  • B
    $\frac{10}{11} \times \frac{11}{12}=\frac{11}{12} \times \frac{10}{11}$
  • ✓
    $\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
  • D
    $\frac{10}{11}÷\frac{11}{12}=\frac{10}{11} \times \frac{12}{11}$
✓

Answer

Correct option: C.
$\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
(C) $\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
Hint We have,
$\begin{aligned} \frac{10}{11}÷\frac{11}{12} & =\frac{11}{12}+\frac{10}{11} \\ \text { LHS } & =\frac{10}{11}÷\frac{11}{12}=\frac{10}{11} \times \frac{12}{11}=\frac{120}{121} \\ \text { RHS } & =\frac{11}{12}÷\frac{10}{11}=\frac{11}{12} \times \frac{11}{10}=\frac{121}{120} \\ \therefore \text { LHS } & \neq \text { RHS }\end{aligned}$

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