Final answer:
58/10 divided by 2/3 equals 8.7. This is executed by transforming the division problem into a multiplication problem, where the first fraction is multiplied by the reciprocal of the second fraction.
Step-by-step explanation:
The problem we are addressing here is
58/10 divided by 2/3
, which is a problem in fraction division. Dividing fractions involves multiplying the first fraction (the dividend) by the reciprocal of the second fraction (the divisor). Thus, the original problem transforms into
58/10 * 3/2.
To make the multiplication easier, it would be best to reduce fractions where possible. 58/10 reduces to 5.8 and 2/3 remains as it is. So the problem becomes
5.8 * 3/2.
Multiplication is straightforward here: multiply the numerators together for the new numerator, and the denominators together for the new denominator. With decimals, we simply multiply as with whole numbers. So doing the multiplication,
5.8 * 3/2 = 8.7.
So 58/10 divided by 2/3 equals 8.7.
Learn more about Fraction Division