math help

What is 10/6 + 4/10?

What is 10/6 + 4/10?

This is how you add

10
6
+
4
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 10 by 10, and get 100, then we multiply 6 by 10 and get 60.

10/6 times 10

Do the same for the second term. We multiply 4 by 6, and get 24, then multiply 6 by 10 and get 60.

4/10 times 6

The problem now has new fractions to add:

100
60
+
24
60

Step 2

Since our denominators match, we can add the numerators.

100 + 24 = 124

The sum we get is

124
60

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:

124
60
÷ 2 =
62
30

Let's try dividing by that again...

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

62
30
÷ 2 =
31
15

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 15. So we're done reducing.

There you have it! Here's the final answer to 10/6 + 4/10

10
6
+
4
10
=
31
15
© 2014 Randy Tayler