6/7 divided by 2/3 = ???

1 2/7

Step-by-step explanation:

Hi! so this is very easy to solve. Let me guide you through it!

6/7 divided by 2/3

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 and changing the operation to multiplication. Then the equation becomes

6/7 X 3/2

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

6      x 3       18

__    ___  =    

7       x2          24

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 18 and 14 using

GCF(18,14) = 2

18     ÷ 2           9

___     ___   =   ___

14      ÷ 2             7

The fraction

9/7

is the same as

9÷7

Convert to a mixed number using

long division for 9 ÷ 7 = 1R2, so

9/7=1 2/7

so there fore =

6/7÷2/3=1 2/7

(sorrry this took long i was solving it!)

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is c. 23/3