math help

What is 70/70 + 3/8?

What is 70/70 + 3/8?

Here's how we add

70
70
+
3
8

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 8, and get 560, then we multiply 70 by 8 and get 560.

70/70 times 8

Now for the second term. You multiply 3 by 70, and get 210, then multiply 70 by 8 and get 560.

3/8 times 70

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

560
560
+
210
560

Step 2

Since our denominators match, we can add the numerators.

560 + 210 = 770

That gives us the sum, which is

770
560

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:

770
560
÷ 2 =
385
280

Now, try the same number again.

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

385
280
÷ 5 =
77
56

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:

77
56
÷ 7 =
11
8

Now, try the same number again.

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

No good. 11 is larger than 8. So we're done reducing.

Congratulations! Here's your final answer to 70/70 + 3/8

70
70
+
3
8
=
11
8
© 2014 Randy Tayler