math help

What is 91/6 + 1/4?

What is 91/6 + 1/4?

Here's how we add

91
6
+
1
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 91 by 4, and get 364, then we multiply 6 by 4 and get 24.

91/6 times 4

Do the same for the second term. We multiply 1 by 6, and get 6, then multiply 6 by 4 and get 24.

1/4 times 6

The problem now has new fractions to add:

364
24
+
6
24

Step 2

Since our denominators match, we can add the numerators.

364 + 6 = 370

The sum we get is

370
24

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:

370
24
÷ 2 =
185
12

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...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 1/4

91
6
+
1
4
=
185
12
© 2014 Randy Tayler