math help

What is 70/51 + 4/8?

What is 70/51 + 4/8?

Here's how to add

70
51
+
4
8

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 70 by 8, and get 560, then we multiply 51 by 8 and get 408.

70/51 times 8

Now for the second term. You multiply 4 by 51, and get 204, then multiply 51 by 8 and get 408.

4/8 times 51

This gives us a new problem that looks like so:

560
408
+
204
408

Step 2

Since our denominators match, we can add the numerators.

560 + 204 = 764

So what's the answer so far?

764
408

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

764
408
÷ 2 =
382
204

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

382
204
÷ 2 =
191
102

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

No good. 103 is larger than 102. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 4/8

70
51
+
4
8
=
191
102
© 2014 Randy Tayler