math help

What is 70/51 + 3/6?

What is 70/51 + 3/6?

Here's how we add

70
51
 +
3
6

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 70 by 6, and get 420, then we multiply 51 by 6 and get 306.

70/51 times 6

Do the same for the second term. We multiply 3 by 51, and get 153, then multiply 51 by 6 and get 306.

3/6 times 51

The problem now has new fractions to add:

420
306
 +
153
306

Step 2

Since our denominators match, we can add the numerators.

420 + 153 = 573

This yields the answer

573
306

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

573
306
 ÷ 3 =
191
102

Now, try the same number again.

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...

No good. 103 is larger than 102. So we're done reducing.

Congratulations! Here's your final answer to 70/51 + 3/6

70
51
 +
3
6
 =
191
102
© 2014 Randy Tayler

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