Answer: To find the reciprocal of a fraction, you need to invert the fraction by swapping the numerator and denominator. Let's find the reciprocal of three and three fifths.
Step 1: Write the fraction as a mixed number: 3 3/5.
Step 2: Invert the fraction by swapping the numerator and denominator: 5/3.
Therefore, the reciprocal of three and three fifths is 5/3.
Now, let's find the reciprocal of five eighteenths.
Step 1: Write the fraction as a simplified fraction: 5/18.
Step 2: Invert the fraction by swapping the numerator and denominator: 18/5.
Therefore, the reciprocal of five eighteenths is 18/5.
Finding the first reciprocal (5/3) doesn't directly simplify finding the second reciprocal (18/5). Each reciprocal is found independently by inverting the fraction. However, knowing the concept of finding reciprocals and how to invert fractions can make it easier to find subsequent reciprocals. It's important to remember that finding the reciprocal of a fraction is always done by inverting the fraction.