Julio believes that the quotient of 6 ÷ 1/2 = 3. Explain Julio’s error and tell how to find the correct answer.
Mathematics · Middle School · Thu Feb 04 2021
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Given the statement:
Julio believes that the quotient of 6 ÷ 1/2 = 3.
Explain Julio's error and determine the correct answer.
Solution:
Julio made a mistake due to the fact, that he multiplied 6 by ½. It must be taken to note that in dividing a number with a fraction, we do not just multiply the fraction, but instead we take the reciprocal of the fraction which is its inverse and then multiply it with the dividend. In our case, the reciprocal of ½ is 2, hence, we need to multiply 2 by 6.
= (2)(6)
= 12
Final answer:
= 12