How do you simplify 6 3/8+7 2/5?

2 Answers
Apr 24, 2017

13(31)/(40)

Explanation:

The problem is 6 3/8 + 7 2/5

We can add 7+6 easily (it's 13), but the two fractions give us more trouble. The denominators aren't the same, and we can't​ add them until they are.

If we multiply both denominators by the other one, they will both equal each other. Then we'll be able to add everything.

5/5*3/8+2/5*8/8

(15)/(40)+(16)/(40)=(31)/(40)

Now we add the whole numbers to our new fraction...

13(31)/(40)

Apr 26, 2017

6 3/8 + 7 2/5

We could then say 6 3/8 => 48/8 + 3/8

i.e. 51/8

Also, we can say 7 2/5 => 35/5 + 2/5

i.e. 37/5

Choosing a common denominator of 40 and adding we have:

255/40 + 296/40

=> 551/40

so, 520/40 + 31/40

i.e. 13 31/40

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