math help

What is 57/7 + 1/10?

What is 57/7 + 1/10?

Here's how you add

57
7
+
1
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 57 by 10, and get 570, then we multiply 7 by 10 and get 70.

57/7 times 10

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 10 and get 70.

1/10 times 7

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

570
70
+
7
70

Step 2

Since our denominators match, we can add the numerators.

570 + 7 = 577

Answer:

577
70

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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...

No good. 71 is larger than 70. So we're done reducing.

There you have it! Here's the final answer to 57/7 + 1/10

57
7
+
1
10
=
577
70
© 2014 Randy Tayler