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Nataly_w [17]
3 years ago
5

Examples of how to add mixed numbers

Mathematics
2 answers:
Zinaida [17]3 years ago
6 0
You first change the denominater to common and then you add the whole numbers and then the fractions 1 1/2 + 1 1/4 =1 2/4 +1 1/4+= 2 3/4
suter [353]3 years ago
3 0
1. 2 3/4 + 1 1/4

This problem is a simple addition problem, all you have to do is add 2+1 (3) and then if the denominator of the fractions are the same, then you add freely without changing the denominator. So we add 3/4+1/4 (4/4) If the numerator is equivalent or greater than the denominator; we "Convert". So, since the numerator is equal to the denominator; we will Convert that fraction into a whole number (1) because a fraction is nothing but a part. If all the parts of the fraction are put together, then we will get a whole. After that we add the 1 to the 3 (4). The answer to this problem is 3.

2. 2 3/4 + 2 3/4

This problem is relatively easy. Do the steps above, but you will see that the fraction has turned into a improper fraction (6/4) Now, if you've already subtracted 4 from the numerator, then you've done a great job! Now we add 1 to the whole numbers, making it 5, but we still have work to do. There are still 2 parts left to the fraction, which means we have to make a mixed number. All you do is take the 5 and put 2 over 4, we can reduce the fraction, so let's go ahead and do so. The answer to this problem would be 5 1/2.
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Re-write the equation without the h component.
levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

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Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

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f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

f(x) = \frac{1}{2}(4)^{x+2}

Split the exponent using the following law of indices

a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

Express 4^2 as 16

f(x) = \frac{1}{2}(4)^x * 16

Divide 16 by 2

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3 0
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Answer:

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Step-by-step explanation:

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