math help

What is 60/48 + 5/10?

What is 60/48 + 5/10?

Here's how we add

60
48
+
5
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 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 5 by 48, and get 240, then multiply 48 by 10 and get 480.

5/10 times 48

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

600
480
+
240
480

Step 2

Since our denominators match, we can add the numerators.

600 + 240 = 840

Answer:

840
480

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

840
480
÷ 2 =
420
240

Let's try dividing by that again...

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

420
240
÷ 2 =
210
120

Let's try dividing by that again...

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

210
120
÷ 2 =
105
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:

105
60
÷ 3 =
35
20

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:

35
20
÷ 5 =
7
4

Let's try dividing by that again...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 60/48 + 5/10

60
48
+
5
10
=
7
4
© 2014 Randy Tayler