math help

What is 97/75 + 2/3?

What is 97/75 + 2/3?

This is how you add

97
75
+
2
3

Step 1

Now we need to make our denominators match.

75 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 25, and get 50, then we multiply 3 by 25 and get 75.

2/3 times 25

This gives us a new problem that looks like so:

97
75
+
50
75

Step 2

Since our denominators match, we can add the numerators.

97 + 50 = 147

That gives us an answer of

147
75

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

147
75
÷ 3 =
49
25

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 25. So we're done reducing.

There you have it! Here's the final answer to 97/75 + 2/3

97
75
+
2
3
=
49
25
© 2014 Randy Tayler