math help

What is 78/92 + 2/10?

What is 78/92 + 2/10?

Here's how to add

78
92
+
2
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 78 by 10, and get 780, then we multiply 92 by 10 and get 920.

78/92 times 10

Do the same for the second term. We multiply 2 by 92, and get 184, then multiply 92 by 10 and get 920.

2/10 times 92

The problem now has new fractions to add:

780
920
+
184
920

Step 2

Since our denominators match, we can add the numerators.

780 + 184 = 964

The sum we get is

964
920

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:

964
920
÷ 2 =
482
460

So far so good... let's try to divide by that number again.

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

482
460
÷ 2 =
241
230

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. So next you try the next prime number, which is 97...

No good. So next you try the next prime number, which is 101...

No good. So next you try the next prime number, which is 103...

No good. So next you try the next prime number, which is 107...

No good. So next you try the next prime number, which is 109...

No good. So next you try the next prime number, which is 113...

No good. So next you try the next prime number, which is 127...

No good. So next you try the next prime number, which is 131...

No good. So next you try the next prime number, which is 137...

No good. So next you try the next prime number, which is 139...

No good. So next you try the next prime number, which is 149...

No good. So next you try the next prime number, which is 151...

No good. So next you try the next prime number, which is 157...

No good. So next you try the next prime number, which is 163...

No good. So next you try the next prime number, which is 167...

No good. So next you try the next prime number, which is 173...

No good. So next you try the next prime number, which is 179...

No good. So next you try the next prime number, which is 181...

No good. So next you try the next prime number, which is 191...

No good. So next you try the next prime number, which is 193...

No good. So next you try the next prime number, which is 197...

No good. So next you try the next prime number, which is 199...

No good. So next you try the next prime number, which is 211...

No good. So next you try the next prime number, which is 223...

No good. So next you try the next prime number, which is 227...

No good. So next you try the next prime number, which is 229...

No good. So next you try the next prime number, which is 233...

No good. 233 is larger than 230. So we're done reducing.

And we're done! Here's the final answer to 78/92 + 2/10

78
92
+
2
10
=
241
230
© 2014 Randy Tayler