math help

What is 60/60 + 2/7?

What is 60/60 + 2/7?

This is how we add

60
60
+
2
7

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 60 by 7, and get 420, then we multiply 60 by 7 and get 420.

60/60 times 7

Now for the second term. You multiply 2 by 60, and get 120, then multiply 60 by 7 and get 420.

2/7 times 60

This gives us a new problem that looks like so:

420
420
+
120
420

Step 2

Since our denominators match, we can add the numerators.

420 + 120 = 540

That gives us an answer of

540
420

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:

540
420
÷ 2 =
270
210

Let's try dividing by that again...

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

270
210
÷ 2 =
135
105

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

135
105
÷ 3 =
45
35

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

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

45
35
÷ 5 =
9
7

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 9. So we're done reducing.

There you have it! Here's the final answer to 60/60 + 2/7

60
60
+
2
7
=
9
7
© 2014 Randy Tayler