Question

1 2/3 + 3 3/5

How do you solve this? It says I need to find the least common denominator.
I do paces (home school). And I have to teach myself.

Answer 1

First step is to convert both to improper fractions. Do you know how to do that?

Answer 2

@StudyGurl14 no

Answer 3

\[1\frac{2}{3}+3\frac{3}{5} = \frac{5}{3}+\frac{18}{5} = (\frac{5}{3}*\frac{5}{5})+(\frac{18}{5}*\frac{3}{3})\]

Answer 4

@mhchen can you explain how to do that?

Answer 5

"Least Common Denominator" is to make the Denominator (bottom part of the fraction) the SAME.

We had 3 at the bottom and 5 at the bottom.
To make them the same, we multiply 3*5=15 and 5*3 = 15
Now that the denominators are the SAME, we can add the numerators.

Answer 6

Okay i got that.

Answer 7

So like studygurl said, i first made it into an improper fraction.
\[1\frac{2}{3} =\frac{2+(3*1)}{3}\]

Answer 8

Okay

Answer 9

\[3\frac{3}{5} = \frac{3+(3*5)}{5}\]

Answer 10

So that was the first part. Then the second part was to make the denominators the same. I did that by multiplying the fractions to make the denominator the same.
\[\frac{5}{3}*\frac{5}{5}\] <-- as you can see, the 5/5 means 1, so it's the same number. Because anything multiplied by 1 is itself.

Answer 11

Okay

Answer 12

Okay so now you have \[(\frac{5}{3}*\frac{5}{5})+(\frac{18}{5}*\frac{3}{3}) = \frac{25}{15}+\frac{54}{15}\]

Answer 13

Got it?

Answer 14

So now you add them?
25+54= 79
79/15?

Answer 15

YES!!

Answer 16

Yay!

Answer 17

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Answer 18

Lol thank you so much!