Question

31. Which of the following is not true?
(A) 8/7 + 3/8 = 3/8 + 8/7
(B) 8/7 * 3/8 = 3/8 x 8/7
(C) 8/7/3/8 = 8/7 * 8/3
(D) 8/7 – 3/8 = 3/8 - 8/7​

Answer 1

Answer:

D) 8/7 - 3/8 = 3/8 - 8/7

is not true

Answer 2

The required "option D) $\dfrac{8}{7}-\dfrac{3}{8} =\dfrac{3}{8} -\dfrac{8}{7}$" is correct.

Step-by-step explanation:

Check the options:

a) $\dfrac{8}{7}+\dfrac{3}{8} =\dfrac{3}{8} +\dfrac{8}{7}$

Using the addition property,

a + b = b + a

$\dfrac{8}{7}+\dfrac{3}{8} =\dfrac{3}{8} +\dfrac{8}{7}$, is true.

b) $\dfrac{8}{7}\times\dfrac{3}{8} =\dfrac{3}{8}\times\dfrac{8}{7}$

Using the multiplication property,

a × b = b × a

$\dfrac{8}{7}\times\dfrac{3}{8} =\dfrac{3}{8}\times\dfrac{8}{7}$, is true.

c) $\dfrac{\dfrac{8}{7} }{\dfrac{3}{8} } =\dfrac{8}{7} \times \dfrac{8}{3}$

$\dfrac{\dfrac{8}{7} }{\dfrac{3}{8} } =\dfrac{8}{7} \times \dfrac{8}{3}$, is true.

d) a) $\dfrac{8}{7}-\dfrac{3}{8} =\dfrac{3}{8} -\dfrac{8}{7}$

Using the addition property,

a - b ≠ b - a

$\dfrac{8}{7}-\dfrac{3}{8} \neq \dfrac{3}{8} -\dfrac{8}{7}$, is not true.

Thus, the required "option D) $\dfrac{8}{7}-\dfrac{3}{8} =\dfrac{3}{8} -\dfrac{8}{7}$" is correct.