The quotient of 6/8 divided by 2/6 is 9/4.
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
In this case, we have:
6/8 divided by 2/6
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, the reciprocal of 2/6 is 6/2.
Therefore, we can rewrite the division as:
6/8 x 6/2
Now, we can multiply the numerators together and the denominators together:
(6 x 6) / (8 x 2)
Which simplifies to:
36 / 16
Now, we can simplify the fraction by finding the greatest common divisor (GCD) of 36 and 16, and dividing both the numerator and the denominator by the GCD.
The GCD of 36 and 16 is 4.
Dividing both the numerator and denominator by 4, we get:
(36 ÷ 4) / (16 ÷ 4)
9 / 4
So, the quotient of 6/8 divided by 2/6 is 9/4.
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