math help

What is 24/26 + 1/7?

What is 24/26 + 1/7?

This is how you add

24
26
+
1
7

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 24 by 7, and get 168, then we multiply 26 by 7 and get 182.

24/26 times 7

Do the same for the second term. We multiply 1 by 26, and get 26, then multiply 26 by 7 and get 182.

1/7 times 26

The problem now has new fractions to add:

168
182
+
26
182

Step 2

Since our denominators match, we can add the numerators.

168 + 26 = 194

This yields the answer

194
182

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:

194
182
÷ 2 =
97
91

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...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

No good. 97 is larger than 91. So we're done reducing.

Congratulations! Here's your final answer to 24/26 + 1/7

24
26
+
1
7
=
97
91
© 2014 Randy Tayler