math help

What is 78/73 + 2/10?

What is 78/73 + 2/10?

This is how you add

78
73
+
2
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 78 by 10, and get 780, then we multiply 73 by 10 and get 730.

78/73 times 10

Now for the second term. You multiply 2 by 73, and get 146, then multiply 73 by 10 and get 730.

2/10 times 73

We now have a new problem, that looks like this:

780
730
+
146
730

Step 2

Since our denominators match, we can add the numerators.

780 + 146 = 926

Answer:

926
730

Step 3

Now, do we need to simplify this fraction?

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

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

926
730
÷ 2 =
463
365

Now, try the same number again.

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

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

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

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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...

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Nope. Try the next prime number, 241...

Nope. Try the next prime number, 251...

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Nope. Try the next prime number, 271...

Nope. Try the next prime number, 277...

Nope. Try the next prime number, 281...

Nope. Try the next prime number, 283...

Nope. Try the next prime number, 293...

Nope. Try the next prime number, 307...

Nope. Try the next prime number, 311...

Nope. Try the next prime number, 313...

Nope. Try the next prime number, 317...

Nope. Try the next prime number, 331...

Nope. Try the next prime number, 337...

Nope. Try the next prime number, 347...

Nope. Try the next prime number, 349...

Nope. Try the next prime number, 353...

Nope. Try the next prime number, 359...

Nope. Try the next prime number, 367...

No good. 367 is larger than 365. So we're done reducing.

Congratulations! Here's your final answer to 78/73 + 2/10

78
73
+
2
10
=
463
365
© 2014 Randy Tayler