math help

What is 78/92 + 1/10?

What is 78/92 + 1/10?

This is how to add

78
92
+
1
10

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

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

78/92 times 10

Now for the second term. You multiply 1 by 92, and get 92, then multiply 92 by 10 and get 920.

1/10 times 92

This gives us a new problem that looks like so:

780
920
+
92
920

Step 2

Since our denominators match, we can add the numerators.

780 + 92 = 872

So what's the answer so far?

872
920

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

872
920
÷ 2 =
436
460

Now, try the same number again.

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

436
460
÷ 2 =
218
230

Now, try the same number again.

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

218
230
÷ 2 =
109
115

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

No good. 113 is larger than 109. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 1/10

78
92
+
1
10
=
109
115
© 2014 Randy Tayler