Question

How do you solve `\frac { 7} { 10} + \frac { 8} { 10}`?

Answer 1

`3/2`

Explanation:

`"I think you mean simplify "7/10+8/10`

`"before we can add/subtract fractions we require them to"`
`"have a "color(blue)"common denominator"`

`"that is the same number on the 'bottom' of the fraction"`

`"in this case the number on the bottom of both fractions is 10"`
`"so we can add them"`

`"we now add the "color(blue)"numerators" " the numbers on the 'tops'"`
`"of the fractions leaving the denominator"`

`rArr7/10+8/10=(7+8)/10=15/10`

`15/10" can be simplified by "color(red)"cancelling"`

`"that is finding the largest number that divides into "`
`"15 and 10"`

`"that number is 5"`

`"there are 2 ways of showing cancelling"`

`15-:5=3" and "10-:5=2rArr15/10=3/2`

`"more usual is " cancel(15)^3/cancel(10)^2=3/2larrcolor(red)" in simplest form"`

`"a fraction is in simplest form when no other number but 1"`
`"will divide into the numerator and denominator"`

Answer 2

`3/2`

Explanation:

Since the denominators are same you can add numerators directly.

So it becomes :

=> `(7+8)/10`

=> `15/10`

On Simplifying, it becomes `3/2`.