math help

What is 95/29 + 2/4?

What is 95/29 + 2/4?

Here's how we add

95
29
+
2
4

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 95 by 4, and get 380, then we multiply 29 by 4 and get 116.

95/29 times 4

Do the same for the second term. We multiply 2 by 29, and get 58, then multiply 29 by 4 and get 116.

2/4 times 29

The problem now has new fractions to add:

380
116
+
58
116

Step 2

Since our denominators match, we can add the numerators.

380 + 58 = 438

This yields the answer

438
116

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:

438
116
÷ 2 =
219
58

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...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

No good. 59 is larger than 58. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 2/4

95
29
+
2
4
=
219
58
© 2014 Randy Tayler