Question

5/7 x (4 4/27 divided by 3 1/3)

Answer 1

Answer:

118/49

Step-by-step explanation:

Following order of operations rules, we must do the work presented inside parentheses first:

Convert both 4 4/27 and 3 1/3 into improper fractions.  The results are:

112                      10

------ divided by -----

  7                        3

We get the equivalent result by inverting the divisor 10/3 and then multiplying:

112       3     336

----- * ----- = ------

  7      10      70

                                  118

... which reduces to ------

                                   35

Finally, we multiply this result by 5/7:

 5     118

----- * -----

  7     35

This product reduces to:

   118

----------- or 118/49

    7^2