Perform the operation and simplify the answer fully: 8/10 divided by 10/9
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
Reciprocal of 10/9 = 9/10.
So, (8/10) ÷ (10/9) = (8/10) * (9/10).
Multiplying the numerators gives us 8 * 9 = 72.
Multiplying the denominators gives us 10 * 10 = 100.
Thus, (8/10) ÷ (10/9) simplifies to 72/100.
To fully simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 4.
72/100 ÷ 4 = 18/25.
Therefore, the fully simplified answer is 18/25.