math help

What is 60/48 + 7/10?

What is 60/48 + 7/10?

This is how to add

60
48
+
7
10

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 10, and get 600, then we multiply 48 by 10 and get 480.

60/48 times 10

Now for the second term. You multiply 7 by 48, and get 336, then multiply 48 by 10 and get 480.

7/10 times 48

This gives us a new problem that looks like so:

600
480
+
336
480

Step 2

Since our denominators match, we can add the numerators.

600 + 336 = 936

So what's the answer so far?

936
480

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:

936
480
÷ 2 =
468
240

So far so good... let's try to divide by that number again.

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

468
240
÷ 2 =
234
120

So far so good... let's try to divide by that number again.

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

234
120
÷ 2 =
117
60

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

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

117
60
÷ 3 =
39
20

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. 23 is larger than 20. So we're done reducing.

And we're done! Here's the final answer to 60/48 + 7/10

60
48
+
7
10
=
39
20
© 2014 Randy Tayler