How do you solve \frac { 7} { 10} + \frac { 8} { 10}710+810?
2 Answers
Explanation:
"I think you mean simplify "7/10+8/10I think you mean simplify 710+810
"before we can add/subtract fractions we require them to"before we can add/subtract fractions we require them to
"have a "color(blue)"common denominator"have a common denominator
"that is the same number on the 'bottom' of the fraction"that is the same number on the 'bottom' of the fraction
"in this case the number on the bottom of both fractions is 10"in this case the number on the bottom of both fractions is 10
"so we can add them"so we can add them
"we now add the "color(blue)"numerators" " the numbers on the 'tops'"we now add the numerators the numbers on the 'tops'
"of the fractions leaving the denominator"of the fractions leaving the denominator
rArr7/10+8/10=(7+8)/10=15/10⇒710+810=7+810=1510
15/10" can be simplified by "color(red)"cancelling"1510 can be simplified by cancelling
"that is finding the largest number that divides into "that is finding the largest number that divides into
"15 and 10"15 and 10
"that number is 5"that number is 5
"there are 2 ways of showing cancelling"there are 2 ways of showing cancelling
15-:5=3" and "10-:5=2rArr15/10=3/215÷5=3 and 10÷5=2⇒1510=32
"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"
Explanation:
Since the denominators are same you can add numerators directly.
So it becomes :
=>
=>
On Simplifying, it becomes
