Which inequality correctly compares Four-fifths, One-fourth, and Four-ninths?
2 answers:
Answer:
or
Step-by-step explanation:
Lets find the decimal equivalent of each fraction, and then compare them.
Four-fifths:
4 is lower than 5, so the integer result is 0.
The decimal part is given by 40/5 = 8.
So 0.8
One-fourth
1 is lower than 4, so the integer result is 0.
The decimal part is given by 10/4 = 2.5.
So 0.25
Four-ninths
4 is lower than 5, so the integer result is 0.
The decimal part is given by 40/9 = 4.444.
So 0.4444
These following inequalities can combate them:
or
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Answer:
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Work Shown:
The trick here is to first simplify the expression so that the term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as
approaches 0 from the right or positive direction.