math help

What is 24/26 + 1/10?

What is 24/26 + 1/10?

Here's how you add

24
26
+
1
10

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 24 by 10, and get 240, then we multiply 26 by 10 and get 260.

24/26 times 10

Now for the second term. You multiply 1 by 26, and get 26, then multiply 26 by 10 and get 260.

1/10 times 26

This gives us a new problem that looks like so:

240
260
+
26
260

Step 2

Since our denominators match, we can add the numerators.

240 + 26 = 266

So what's the answer so far?

266
260

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

266
260
÷ 2 =
133
130

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...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

No good. 131 is larger than 130. So we're done reducing.

Congratulations! Here's your final answer to 24/26 + 1/10

24
26
+
1
10
=
133
130
© 2014 Randy Tayler