math help

What is 60/48 + 2/7?

What is 60/48 + 2/7?

Here's how you add

60
48
+
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 48 by 7 and get 336.

60/48 times 7

Now for the second term. You multiply 2 by 48, and get 96, then multiply 48 by 7 and get 336.

2/7 times 48

This gives us a new problem that looks like so:

420
336
+
96
336

Step 2

Since our denominators match, we can add the numerators.

420 + 96 = 516

So what's the answer so far?

516
336

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:

516
336
÷ 2 =
258
168

Let's try dividing by that again...

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

258
168
÷ 2 =
129
84

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:

129
84
÷ 3 =
43
28

Let's try dividing by that again...

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...

No good. 29 is larger than 28. So we're done reducing.

There you have it! Here's the final answer to 60/48 + 2/7

60
48
+
2
7
=
43
28
© 2014 Randy Tayler