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Which shows -3.72 as a rational number in the form abab?

A.-93/25

B.-57/25

C.-79/25

D. -54/25​

1 Answer

2 votes

Final answer:

To represent -3.72 as a rational number in the form abab, we need to express it as a fraction. The answer is -57/25.

Step-by-step explanation:

To represent -3.72 as a rational number in the form abab, we need to express it as a fraction. The decimal -3.72 can be written as -3 - 0.72. We can also write 0.72 as a fraction by placing it over 100, since it represents 72 hundredths. So, 0.72 can be written as 72/100 or 18/25. Putting it all together, we have -3 - 18/25. To find the common denominator, we multiply the whole number by 25 to get -75/25. Adding the fractions, we get (-75/25) + (18/25). Simplifying the expression, we get -57/25. Therefore, the answer is B. -57/25.

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