What is 2/3 - 1/6?<span><span>Here's how to subtract 1/6 from 2/3:<span><span>23</span>−<span>16</span></span></span><span>Step 1We 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 2 by 6, and get 12.Then we multiply 1 by 3, and get 3.Next we give both terms new denominators -- 3 × 6 = 18.So now our fractions look like this:<span><span>1218</span>−<span>318</span></span></span><span>Step 2Since our denominators match, we can subtract the numerators.12 − 3 = 9So the answer is:<span>918</span></span><span>Step 3Last 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...Nope! So now we try the next greatest prime number, 3...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>918</span>÷ 3 =<span>36</span></span>Let's try dividing by 3 again...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>36</span>÷ 3 =<span>12</span></span>Let's try dividing by 3 again...No good. 3 is larger than 1. So we're done reducing.There you have it! The final answer is:<span><span>23</span>−<span>16</span>=<span><span>12</span></span></span></span></span>There are 3 simple steps to subtract fractions<span>Make sure the bottom numbers (the denominators) are the same.Subtract the top numbers (the numerators). Put the answer over the same denominator.<span>Simplify the fraction (if needed).
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Answer:
the whole
Step-by-step explanation:
Combining like terms refers to adding all of the terms that have a exponent or a variable in an expression.
Example: 6y + 10y - 2
You would combine the like terms, which two numbers have a variable.
6y + 10y = 16y
After combing the like terms, the new expression should be:
16y - 2
A
rational number is any number that can be written as the
ratio between two other numbers i.e. in the form
Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have
Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are
,
,
and
so it makes sense to try and use those to build our number. In this case
works nicely.
