math help

What is 64/4 + 10/12?

What is 64/4 + 10/12?

This is how to add

64
4
+
10
12

Step 1

Now we need to make our denominators match.

Since 4 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 64 by 3, and get 192, then we multiply 4 by 3 and get 12.

64/4 times 3

The problem now has new fractions to add:

192
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

192 + 10 = 202

This yields the answer

202
12

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:

202
12
÷ 2 =
101
6

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...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 64/4 + 10/12

64
4
+
10
12
=
101
6
© 2014 Randy Tayler

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