Using multiplication of fractions, it is found that Samuel's answer is of: [tex]-\frac{61}{2} = -30.5[/tex]
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- In a multiplication of two fractions, the numerators and denominators are multiplied.
- Signal rules for multiplication rules apply, that is, if the two factors have different signals the product is negative, thus a negative fraction multiplied by a positive one is negative.
- The multiplication given in the exercise is:
[tex]-12 \times \frac{61}{24} = -\frac{12 \times 61}{24}[/tex]
- 24 is divisible by 12, as 24/12 = 2, thus we can simplify the fraction by 12.
[tex]-\frac{12 \times 61}{24} = -\frac{61}{2} = -30.5[/tex]
Thus, it is found that Samuel's answer is of [tex]-\frac{61}{2} = -30.5[/tex]
A similar problem is given at https://brainly.com/question/15220704
