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

2 Answers
Aug 5, 2017

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"

Aug 5, 2017

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.