math help

What is 100/50 + 2/10?

What is 100/50 + 2/10?

Let's add

100
50
+
2
10

Step 1

Now we need to make our denominators match.

Since 10 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 2 by 5, and get 10, then we multiply 10 by 5 and get 50.

2/10 times 5

The problem now has new fractions to add:

100
50
+
10
50

Step 2

Since our denominators match, we can add the numerators.

100 + 10 = 110

This yields the answer

110
50

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:

110
50
÷ 2 =
55
25

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

55
25
÷ 5 =
11
5

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 100/50 + 2/10

100
50
+
2
10
=
11
5
© 2014 Randy Tayler