math help

What is 78/92 - 5/6?

What is 78/92 - 5/6?

Here's how to subtract 5/6 from 78/92:

78
92
5
6

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 78 by 6, and get 468.

Then we multiply 5 by 92, and get 460.

Next we give both terms new denominators -- 92 × 6 = 552.

So now our fractions look like this:

468
552
460
552

Step 2

Since our denominators match, we can subtract the numerators.

468 − 460 = 8

So the answer is:

8
552

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

8
552
÷ 2 =
4
276

Let's try dividing by 2 again...

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

4
276
÷ 2 =
2
138

Let's try dividing by 2 again...

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

2
138
÷ 2 =
1
69

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
78
92
5
6
=
1
69