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How do you simplify #(2 2/9)/ (3 1/3)#?

Answer 1

Eva Abramson

The final answer will be #2/3#. The method used to get there is shown below...

First, you must change both into improper fractions

#2 2/9 = 20/9#

#3 1/3 = 10/3#

Now, when we divide by a fraction it is the same as multiplying by the reciprocal of that fraction, so

#20/9-:10/3=20/9 xx 3/10 #

Multiply the two numerators to get the numerator of the answer, then do the same with the two denominators:

#(20xx3)/(9xx10)=60/90# which can be simplified to #2/3# by dividing both values by 30.

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Answer 2

Eva Abramson

To simplify (2 2/9) / (3 1/3), we first convert the mixed numbers to improper fractions.

(2 2/9) = (20/9) (3 1/3) = (10/3)

Next, we invert the second fraction and multiply:

(20/9) * (3/10)

To multiply fractions, we multiply the numerators together and the denominators together:

(20 * 3) / (9 * 10) = 60/90

Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 30:

60/90 = 2/3

Therefore, (2 2/9) / (3 1/3) simplifies to 2/3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.