Final answer:
Shelby's second step in dividing the fractions 7/5 by 3/4 is to multiply 7/5 by the reciprocal of 3/4, which is 4/3, thus setting up the multiplication 7/5 × 4/3.
Step-by-step explanation:
When dividing the fractions 7/5 ÷ 3/4, Shelby's second step would be to multiply the first fraction by the reciprocal of the second fraction. The process of dividing fractions is essentially the same as multiplying the first fraction by the reciprocal (the inverse) of the second. Therefore, Shelby would take the given fraction 3/4 and flip it to its reciprocal, which is 4/3, to set up the multiplication: 7/5 × 4/3.
- Write the division of fractions as: 7/5 ÷ 3/4
- Flip the second fraction to find its reciprocal: 4/3
- Multiply the first fraction by this reciprocal: 7/5 × 4/3
This is how we transform division into multiplication when it comes to fractions, facilitating the operation. It is essential to understand that dividing by a fraction is the same as multiplying by its reciprocal, which simplifies the process of division.