math help

What is 88/15 + 1/10?

What is 88/15 + 1/10?

This is how you add

88
15
+
1
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 88 by 10, and get 880, then we multiply 15 by 10 and get 150.

88/15 times 10

Do the same for the second term. We multiply 1 by 15, and get 15, then multiply 15 by 10 and get 150.

1/10 times 15

The problem now has new fractions to add:

880
150
+
15
150

Step 2

Since our denominators match, we can add the numerators.

880 + 15 = 895

This yields the answer

895
150

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...

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

895
150
÷ 5 =
179
30

Let's try dividing by that again...

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...

No good. 31 is larger than 30. So we're done reducing.

There you have it! Here's the final answer to 88/15 + 1/10

88
15
+
1
10
=
179
30
© 2014 Randy Tayler