math help

What is 97/75 + 3/5?

What is 97/75 + 3/5?

Here's how you add

97
75
+
3
5

Step 1

Now we need to make our denominators match.

Since 5 is evenly divided by 75, we can multiply just one term to get a common denominator.

Multiply 3 by 15, and get 45, then we multiply 5 by 15 and get 75.

3/5 times 15

So now our fractions look like this:

97
75
+
45
75

Step 2

Since our denominators match, we can add the numerators.

97 + 45 = 142

Now we have an answer.

142
75

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

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...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

No good. 79 is larger than 75. So we're done reducing.

There you have it! Here's the final answer to 97/75 + 3/5

97
75
+
3
5
=
142
75
© 2014 Randy Tayler