math help

What is 16/100 + 3/10?

What is 16/100 + 3/10?

This is how we add

16
100
+
3
10

Step 1

Now we need to make our denominators match.

100 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 10, and get 30, then we multiply 10 by 10 and get 100.

3/10 times 10

This gives us a new problem that looks like so:

16
100
+
30
100

Step 2

Since our denominators match, we can add the numerators.

16 + 30 = 46

That gives us an answer of

46
100

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:

46
100
÷ 2 =
23
50

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...

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 23. So we're done reducing.

There you have it! Here's the final answer to 16/100 + 3/10

16
100
+
3
10
=
23
50
© 2014 Randy Tayler