Question

12 5/8 - 7 2/5 how to do this with explanation pls

Answer 1

In order to compute the substraction, we must convert the mixed fractions into a simple fraction form.

For the first fraction, we get

`12(5)/(8)=(12\cdot8+5)/(8)=(96+5)/(8)=(101)/(8)`

similarly, for the second fraction, we have

`7(2)/(5)=(7\cdot5+2)/(5)=(35+2)/(5)=(37)/(5)`

Now, the subtraction can be computed and is given by

`(101)/(8)-(37)/(5)`

then, we must find the common denominator. We can note that 8*5=40, then this substraction is

then, the substraction is

`\begin{gathered} (101)/(8)-(37)/(5)=(505-296)/(40) \\ (101)/(8)-(37)/(5)=(209)/(40) \\ \end{gathered}`

and the resul is

`(209)/(40)`

Now, we must convert this simple fraction into a mixed fraction form again. It gives

`(209)/(40)=5(9)/(40)`