Answer: 2 and 1/12
Step-by-step explanation: In this problem, we have 5/8 divided by 3/10. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
5/8 ÷ 3/10 can be rewritten as 5/8 × 10/3
Now, we are simply just multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.
[tex](\frac{5}{8}) (\frac{10}{3}) = \frac{50}{24}[/tex]
50/24 can be reduced by dividing both the numerator and denominator by 2 and we will get 25/12.
25/12 can be written as a mixed number. We can write an improper fraction as a mixed by dividing the denominator into the numerator.
Image provided.
Therefore, 5/8 ÷ 3/10 = 2 and 1/12.
