math help

What is 16/48 + 1/10?

What is 16/48 + 1/10?

Here's how you add

16
48
+
1
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 16 by 10, and get 160, then we multiply 48 by 10 and get 480.

16/48 times 10

Now for the second term. You multiply 1 by 48, and get 48, then multiply 48 by 10 and get 480.

1/10 times 48

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

160
480
+
48
480

Step 2

Since our denominators match, we can add the numerators.

160 + 48 = 208

Answer:

208
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:

208
480
÷ 2 =
104
240

Let's try dividing by that again...

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

104
240
÷ 2 =
52
120

Let's try dividing by that again...

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

52
120
÷ 2 =
26
60

Let's try dividing by that again...

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

26
60
÷ 2 =
13
30

Let's try dividing by that again...

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

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...

No good. 17 is larger than 13. So we're done reducing.

There you have it! Here's the final answer to 16/48 + 1/10

16
48
+
1
10
=
13
30
© 2014 Randy Tayler