#5 A pair of jeans was 30% off the
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Answer:
Common denominator = 20
New fractions are:
Step-by-step explanation:
Given:
The fractions are given as:
The denominators of the first fraction is 4 and that of the second fraction is 5.
In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.
Multiples of 4 = 4, 8, 12, 16, <u>20</u>, 24, 28,....
Multiples of 5 = 5, 10, 15, <u>20</u>, 25, 30,....
Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.
Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.
So, for the first fraction, 4 is in the denominator.
So, 4 when multiplied by 5 gives 20.
So, we multiply the numerator and denominator of first fraction by 5. This gives,
Now, for the second fraction, 5 is in the denominator.
So, 5 when multiplied by 4 gives 20.
So, we multiply the numerator and denominator of first fraction by 4. This gives,
Therefore, the new fractions after making the denominators same are:
The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.
<h3>How to represent Integrals?</h3>
Let us say we want to estimate the definite integral;
I =
Now, for any C, f(x) + C is an antiderivative of f′(x).
From fundamental theorem of Calculus, we can say that;
where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.
Read more about Integrals at; brainly.com/question/22008756
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