How do you add #44+ \frac { 35} { 5}#?

1 Answer
smendyka
Jan 26, 2018

See some solution processes below:

Explanation:

First, rewrite the expression as:

#44/1 + 35/5#

Next, to add fractions the must be over common denominators. We can multiply the fraction on the left by the appropriate form of #1# to put it over a common denominator with the fraction on the right while not changing its value:

#(5/5 xx 44/1) + 35/5 => (5 xx 44)/(5 xx 1) + 35/5 => 220/5 + 35/5#

Now we can add the numerators over the common denominator:

#(220 + 35)/5 = 255/5#

We can factor the numerator as:

#(51 xx 5)/5 => (51 xx color(red)(cancel(color(black)(5))))/color(red)(cancel(color(black)(5))) => 51/1 = 51#

Another process would be to first factor the fraction on the right:

#44 + (7 xx 5)/5 => 44 + (7 xx color(red)(cancel(color(black)(5))))/color(red)(cancel(color(black)(5))) => 44 + 7/1 => 44 + 7 => 51#

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