math help

What is 78/92 + 1/6?

What is 78/92 + 1/6?

This is how you add

78
92
 +
1
6

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 6, and get 468, then we multiply 92 by 6 and get 552.

78/92 times 6

Now for the second term. You multiply 1 by 92, and get 92, then multiply 92 by 6 and get 552.

1/6 times 92

This gives us a new problem that looks like so:

468
552
 +
92
552

Step 2

Since our denominators match, we can add the numerators.

468 + 92 = 560

That gives us an answer of

560
552

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:

560
552
 ÷ 2 =
280
276

Let's try dividing by that again...

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

280
276
 ÷ 2 =
140
138

Let's try dividing by that again...

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

140
138
 ÷ 2 =
70
69

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...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

No good. 71 is larger than 70. So we're done reducing.

There you have it! Here's the final answer to 78/92 + 1/6

78
92
 +
1
6
 =
70
69
© 2014 Randy Tayler

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