Simplify: (22 + 52) ( − ) + (2 − 2)(3 + 4)
Answers
Answer:
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Step-by-step explanation:
The fraction 22
52
is equivalent to 11
26
.
This is a proper fraction once the absolute value of the top number or numerator (22) is smaller than the absolute value of the bottom number or denomintor (52).
The fraction 22
52
can be reduced.
We will use the Greatest Common Factor (GCF) method to simplify it.
The GCF is the largest number between which two or more numbers can be divided evenly.
To find the GCF we list the the numerator and denominator factors (*) then we find the largest number that is repeated in both lists:
* The factors of 22 are 1,2,11,22;
* The factors of 52 are 1,2,4,13,26,52.
We can see that the GCD is 2 because it is the largest number by which 22 y 52 can be divided without leaving any residue.
To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF).
So, 22
52
= 22÷2
52÷2
= 11
26
.
Thus, 22
52
is equivalent to 11
26
in the reduced form.
(*) The factors are numbers that multiply each other to get another number. For example, 2 and 3 are factors of 6, because by multiplying them you get 6.
The fraction 22
52
is equal to 22÷52 and can also be expressed as a decimal as 0.423077 and expressed as a percentage as 42.31%.