math help

What is 88/15 + 11/12?

What is 88/15 + 11/12?

Here's how to add

88
15
+
11
12

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 88 by 12, and get 1056, then we multiply 15 by 12 and get 180.

88/15 times 12

Do the same for the second term. We multiply 11 by 15, and get 165, then multiply 15 by 12 and get 180.

11/12 times 15

The problem now has new fractions to add:

1056
180
+
165
180

Step 2

Since our denominators match, we can add the numerators.

1056 + 165 = 1221

The sum we get is

1221
180

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

1221
180
÷ 3 =
407
60

Let's try dividing by that again...

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...

No good. 61 is larger than 60. So we're done reducing.

There you have it! Here's the final answer to 88/15 + 11/12

88
15
+
11
12
=
407
60
© 2014 Randy Tayler

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