To simplify 4/5 ÷ 3 1/5, we first convert the mixed number 3 1/5 into an improper fraction.
To convert the mixed number 3 1/5 to an improper fraction:
3 * 5 + 1 = 15 + 1 = 16
The improper fraction equivalent of 3 1/5 is 16/5.
Now, we can rewrite the expression as:
4/5 ÷ 16/5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, 4/5 ÷ 16/5 is the same as 4/5 * 5/16.
We can now multiply the numerators and denominators:
(4 * 5) / (5 * 16) = 20/80
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 20.
20/80 simplified is 1/4.
Therefore, 4/5 ÷ 3 1/5 simplifies to 1/4.
Simplify 4/5÷3 1/5
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