math help

What is 4/52 + 4/10?

What is 4/52 + 4/10?

Here's how to add

4
52
+
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 4 by 10, and get 40, then we multiply 52 by 10 and get 520.

4/52 times 10

Do the same for the second term. We multiply 4 by 52, and get 208, then multiply 52 by 10 and get 520.

4/10 times 52

The problem now has new fractions to add:

40
520
+
208
520

Step 2

Since our denominators match, we can add the numerators.

40 + 208 = 248

The sum we get is

248
520

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:

248
520
÷ 2 =
124
260

Now, try the same number again.

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

124
260
÷ 2 =
62
130

Now, try the same number again.

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

62
130
÷ 2 =
31
65

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

No good. 37 is larger than 31. So we're done reducing.

Congratulations! Here's your final answer to 4/52 + 4/10

4
52
+
4
10
=
31
65
© 2014 Randy Tayler