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Which of the following statements is wrong?
Question

Which of the following statements is wrong?

A.

25>27\frac25 > \frac27​​

B.

79>59\frac79 >\frac59​​

C.

1011=100110\frac{10}{11} = \frac{100}{110}​​

D.

38>712\frac3 8 >\frac 7 {12}​​

Correct option is D

Solution:

A: Same numerator (2). Smaller denominator gives larger value.

25>27\frac{2}{5} > \frac{2}{7} (correct)​

B: Same denominator (9). Larger numerator gives larger value.

79>59 \frac{7}{9} > \frac{5}{9}(correct)​​

C: 1011=10×1011×10=100110 \frac{10}{11} = \frac{10 \times 10}{11 \times 10} = \frac{100}{110}(correct)​

D: 38>712\frac{3}{8} > \frac{7}{12}​​

Cross multiply:

3 × 12 = 36

7 × 8 = 56

Since (36 < 56),

38>712\frac{3}{8} > \frac{7}{12}​ (wrong)

So, statement D is wrong.

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