math help

What is 91/6 + 7/10?

What is 91/6 + 7/10?

This is how you add

91
6
+
7
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 91 by 10, and get 910, then we multiply 6 by 10 and get 60.

91/6 times 10

Do the same for the second term. We multiply 7 by 6, and get 42, then multiply 6 by 10 and get 60.

7/10 times 6

The problem now has new fractions to add:

910
60
+
42
60

Step 2

Since our denominators match, we can add the numerators.

910 + 42 = 952

This yields the answer

952
60

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:

952
60
÷ 2 =
476
30

Let's try dividing by that again...

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

476
30
÷ 2 =
238
15

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...

No good. 17 is larger than 15. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 7/10

91
6
+
7
10
=
238
15
© 2014 Randy Tayler