To calculate the product of the fractions 3/7 and 3, we first rewrite the expression as a mixed number and then simplify it to its lowest terms.
Step 1: Rewrite the expression as a mixed number
First, we convert the improper fraction 3 3/7 to a mixed number. To do this, we multiply the whole number 3 by the denominator 7, which gives us 21. We then add the numerator from the improper fraction, which is 3, to the result:
3 3/7 = 21/7 + 3 = 24/7
So, the mixed number form of the expression is 24/7.
Step 2: Simplify the mixed number to its lowest terms
Next, we simplify the mixed number 24/7 to its lowest terms. To do this, we find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 24 and 7 is 1, since they have no common factors other than 1. Since the GCD is 1, the fraction is already in its lowest terms.
Thus, the simplified form of the expression is 24/7.
Step 3: Calculate the product of the fractions
Now that we have simplified the expression to its lowest terms, we can calculate the product of the fractions. To do this, we multiply the numerators and denominators of the two fractions:
(3 * 3) / (7 * 1) = 9/7
Therefore, the product of the fractions 3/7 and 3 is 9/7 in fraction form., to calculate the product of the fractions 3/7 and 3, we first rewrite the expression as a mixed number, then simplify it to its lowest terms, and finally calculate the product of the resulting fractions. The answer is 9/7.