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How do you simplify #5 8/9-3 2/3#?

Answer 1

Gabriel Agustin

#5 8/9-3 2/3=2 2/9#

#5 8/9-3 2/3#

= #5+8/9-(3+2/3)#

= #5-3+(8/9-2/3)#

= #2+(8/9-(2xx3)/(3xx3))#

= #2+(8/9-6/9)#

= #2 2/9#

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Answer 2

Gianna Caruso

To simplify ( 5 \frac{8}{9} - 3 \frac{2}{3} ), first convert the mixed numbers to improper fractions, then subtract:

( 5 \frac{8}{9} - 3 \frac{2}{3} = \frac{5 \cdot 9 + 8}{9} - \frac{3 \cdot 3 + 2}{3} = \frac{45 + 8}{9} - \frac{9 + 2}{3} = \frac{53}{9} - \frac{11}{3} )

To subtract fractions, find a common denominator and subtract the numerators:

( \frac{53}{9} - \frac{11}{3} = \frac{53 \cdot 3}{9 \cdot 3} - \frac{11 \cdot 3}{3 \cdot 3} = \frac{159}{27} - \frac{33}{9} )

Now, both fractions have the same denominator, so subtract the numerators:

( \frac{159}{27} - \frac{33}{9} = \frac{159 - 99}{27} = \frac{60}{27} )

Lastly, simplify the fraction:

( \frac{60}{27} = \frac{20}{9} )

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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.