Which number sentence is true? A. -1/12 times 6/7 = -1/14 b. -1/12 times (-6/7)= -1/14 c. 1/12 times 6/7 = -1/14 d.1/12 times (-6/7) = 1/14

Question

asked Dec 25, 2021 42.2k views

2 Answers

Gkdm · Answer 1 · 2021-12-29T22:09:57+0000

Answer:

We conclude that:

$-(1)/(12)\cdot (6)/(7)=-(1)/(14)$

Hence, option (A) is true.

Explanation:

Let us solve the expression

Let us solve the L.H.S to check whether it becomes equal to R.H.S

$-(1)/(12)\:* (6)/(7)$

Factor the number: 12=6×2

$-(1)/(6\cdot \:2)\cdot (6)/(7)$

Cross - cancel the common factor

$-(1)/(2)\cdot (1)/(7)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d)$

$-(1\cdot \:1)/(2\cdot \:7)$

Multiply the number: 7×2 = 14

-(1)/(14)

Therefore, we conclude that:

$-(1)/(12)\cdot (6)/(7)=-(1)/(14)$

Hence, option (A) is true.