math help

What is 70/51 + 8/10?

What is 70/51 + 8/10?

This is how to add

70
51
+
8
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 70 by 10, and get 700, then we multiply 51 by 10 and get 510.

70/51 times 10

Now for the second term. You multiply 8 by 51, and get 408, then multiply 51 by 10 and get 510.

8/10 times 51

We now have a new problem, that looks like this:

700
510
+
408
510

Step 2

Since our denominators match, we can add the numerators.

700 + 408 = 1108

Answer:

1108
510

Step 3

Now, do we need to simplify this fraction?

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

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

1108
510
÷ 2 =
554
255

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...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

Nope. Try the next prime number, 137...

Nope. Try the next prime number, 139...

Nope. Try the next prime number, 149...

Nope. Try the next prime number, 151...

Nope. Try the next prime number, 157...

Nope. Try the next prime number, 163...

Nope. Try the next prime number, 167...

Nope. Try the next prime number, 173...

Nope. Try the next prime number, 179...

Nope. Try the next prime number, 181...

Nope. Try the next prime number, 191...

Nope. Try the next prime number, 193...

Nope. Try the next prime number, 197...

Nope. Try the next prime number, 199...

Nope. Try the next prime number, 211...

Nope. Try the next prime number, 223...

Nope. Try the next prime number, 227...

Nope. Try the next prime number, 229...

Nope. Try the next prime number, 233...

Nope. Try the next prime number, 239...

Nope. Try the next prime number, 241...

Nope. Try the next prime number, 251...

Nope. Try the next prime number, 257...

No good. 257 is larger than 255. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 8/10

70
51
+
8
10
=
554
255
© 2014 Randy Tayler