916 −1
2

Step 1

We can"t subtract 2 fractions with different denominators. So you require to gain a common denominator. To execute this, you"ll main point the denominators times every other... Yet the numerators have to change, too. They acquire multiplied by the other term"s denominator.

You are watching: 9/16 + 1/2

So us multiply 9 through 2, and also get 18.

Then we multiply 1 by 16, and get 16.

Next we give both terms brand-new denominators -- 16 × 2 = 32.

So currently our fractions look prefer this:

18
32
−16
32

Step 2

Since our denominators match, we can subtract the numerators.

18 − 16 = 2

So the prize is:

2
32

Step 3

Last the all, we must simplify the fraction, if possible. Can it be decreased to a much easier fraction?

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

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

2
32
÷ 2 =1
16

Let"s shot dividing by 2 again...

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No good. 2 is bigger than 1. For this reason we"re excellent reducing.

There you have it! The last answer is:
9
16
−1
2
=1
16

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