Question

Find each difference. 7/10 - 2/5

Answer 1

We have the following general rule for the substraction of fractions:

`\begin{gathered} (a)/(b)-(c)/(d)=(a\cdot d-b\cdot c)/(b\cdot d) \\ b,d\\e0 \end{gathered}`

in this case, we have the following:

`(7)/(10)-(2)/(5)=(7\cdot5-2\cdot10)/(10\cdot5)=(35-20)/(50)=(15)/(50)`

notice that 15 and 50 are multiples of 5,therefore:

`(15)/(50)=(3)/(10)`

finally, we have that the result of the substraction is 3/10