Question

A jewelry store has 9/10 of an ounce of gold. They need to split it into 1/6 ounce groups. How many groups can they make?

Answer 1

the amount of gold present is - 9/10 of an ounce of gold

from this gold they have to split into groups of 1/6 ounce each

so we have to divide 9/10 ounce in to groups of 1/6

for this we have to divide 9/10 by 1/6

`(9)/(10) / (1)/(6)`

when dividing fractions we mutiply the first fraction by the reciprocal of the second fraction

reciprocal of 1/6 is - 6/1

`(9)/(10)*(6)/(1) = (54)/(10) = 5.4`

so the number of groups that can be made is 5 whole groups with 0.4 ounce of gold remaining

the whole number of groups that can be made - 5

Answer 2

Set up an equation like this where x is the number of groups:


`(1)/(6)`x =
`(1)/(6)`

Now just solve the equation by dividing by
`(1)/(6)` (or multiplying by the reciprocal: 6).

x = 27/5 = 5 and 2/5ths

Since you can't have 5 and 2/5ths groups, the answer is just the biggest number of groups that could be made without resorting to a fraction.

So just 5 groups.