math help

What is 60/48 + 8/10?

What is 60/48 + 8/10?

Here's how to add

60
48
+
8
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 60 by 10, and get 600, then we multiply 48 by 10 and get 480.

60/48 times 10

Do the same for the second term. We multiply 8 by 48, and get 384, then multiply 48 by 10 and get 480.

8/10 times 48

The problem now has new fractions to add:

600
480
+
384
480

Step 2

Since our denominators match, we can add the numerators.

600 + 384 = 984

The sum we get is

984
480

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

984
480
÷ 2 =
492
240

Let's try dividing by that again...

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

492
240
÷ 2 =
246
120

Let's try dividing by that again...

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

246
120
÷ 2 =
123
60

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:

123
60
÷ 3 =
41
20

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...

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

There you have it! Here's the final answer to 60/48 + 8/10

60
48
+
8
10
=
41
20
© 2014 Randy Tayler