IM TIMED HURRY PLEASE WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST Which fraction represents the solution to -7/12 divided by (-3/21) in simplest form?
A.) -4 1/12
B.) -1/12
C.) 1/12
D.) 4 1/12

a

Step-by-step explanation:

−7

12

÷

−3

21

=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes

−7

12

×

−21

3

=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

−7×−21

12×3

=

147

36

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 147 and 36 using

GCF(147,36) = 3

147÷3

36÷3

=

49

12

The fraction

49

12

is the same as

49÷12

Convert to a mixed number using

long division for 49 ÷ 12 = 4R1, so

49

12

=4

1

12

Therefore:

−7

12

÷

−3

21

=4

1

12

I THINK it MIGHT be c. 1/12 Not sure!