math help

What is 70/51 + 2/3?

What is 70/51 + 2/3?

Here's how to add

70
51
+
2
3

Step 1

Now we need to make our denominators match.

Since 3 is evenly divided by 51, we can multiply just one term to get a common denominator.

Multiply 2 by 17, and get 34, then we multiply 3 by 17 and get 51.

2/3 times 17

The problem now has new fractions to add:

70
51
+
34
51

Step 2

Since our denominators match, we can add the numerators.

70 + 34 = 104

The sum we get is

104
51

Step 3

The last step is to reduce the fraction if we can.

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...

No good. 53 is larger than 51. So we're done reducing.

There you have it! Here's the final answer to 70/51 + 2/3

70
51
+
2
3
=
104
51
© 2014 Randy Tayler