Answer:
To find 3 x 2/3 using repeated addition, we can add 2/3 to itself three times.
2/3 + 2/3 + 2/3 = 6/3
Simplifying the fraction, we get:
6/3 = 2
Therefore, 3 x 2/3 = 2.
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#1: What is the process for multiplying a whole number and a fraction?
To multiply a whole number and a fraction, you can first convert the whole number to a fraction by placing it over 1. Then, you can multiply the two fractions using the following formula:
a/b x c/d = ac/bd
Where a and c are the numerators of the fractions, and b and d are the denominators. After multiplying, you can simplify the resulting fraction, if necessary.
For example, to multiply 2 and 3/4, we can convert 2 to 2/1 and then multiply as follows:
2/1 x 3/4 = 6/4
Simplifying the resulting fraction, we get:
6/4 = 3/2
Therefore, 2 x 3/4 = 3/2.
#5: How do you check your answer when multiplying fractions?
One way to check your answer when multiplying fractions is to simplify both the numerator and denominator of the resulting fraction and compare it to the original fractions. If the simplified resulting fraction is equivalent to the original fractions, then the answer is correct.
Another way to check your answer is to divide the resulting fraction by one of the original fractions and see if the other original fraction is the quotient. For example, to check the answer to 2/3 x 3/4 = 1/2, we can divide 1/2 by 2/3 and see if the resulting quotient is 3/4:
(1/2) / (2/3) = (1/2) x (3/2) = 3/4
Since the resulting quotient is 3/4, which is equal to the other original fraction, 2/3 x 3/4 = 1/2 is correct.