Question

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

Answer 1

a

Explanation:

Answer 2

We conclude that:

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

Hence, option (A) is true.

Explanation:

Let us solve the expression

• -1/12 times 6/7 = -1/14

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.