math help

What is 24/26 + 6/10?

What is 24/26 + 6/10?

This is how we add

24
26
 +
6
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 24 by 10, and get 240, then we multiply 26 by 10 and get 260.

24/26 times 10

Do the same for the second term. We multiply 6 by 26, and get 156, then multiply 26 by 10 and get 260.

6/10 times 26

The problem now has new fractions to add:

240
260
 +
156
260

Step 2

Since our denominators match, we can add the numerators.

240 + 156 = 396

This yields the answer

396
260

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:

396
260
 ÷ 2 =
198
130

Let's try dividing by that again...

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

198
130
 ÷ 2 =
99
65

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...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

No good. 67 is larger than 65. So we're done reducing.

There you have it! Here's the final answer to 24/26 + 6/10

24
26
 +
6
10
 =
99
65
© 2014 Randy Tayler

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