To convert 0.72 to a rational number, we need to write it as a fraction with the numerator and denominator having no common factors other than 1.
Since 0.72 has two decimal places, we can write it as 72/100. Simplifying this fraction gives us 18/25.
Therefore, 0.72 as a rational number in simplest form is 18/25.
Convert 0.72 to a rational number in the simplest form
9 answers
Which of the following is a rational number between 5 and 5 1/4
To find a rational number between 5 and 5 1/4, we can convert both numbers to fractions with a common denominator.
5 is already a whole number, which can be written as 5/1.
To convert 5 1/4 to a fraction, we multiply the whole number part (5) by the denominator (4) and add the numerator (1). This gives us (5 * 4 + 1)/4 = 21/4.
So, we are looking for a rational number between 5/1 and 21/4.
To find a number between two fractions, we can take their average. The average of 5/1 and 21/4 is (5/1 + 21/4)/2.
Calculating this expression:
(5/1 + 21/4)/2 = (20/4 + 21/4)/2 = 41/4 / 2 = 41/8.
Therefore, the rational number between 5 and 5 1/4 is 41/8.
5 is already a whole number, which can be written as 5/1.
To convert 5 1/4 to a fraction, we multiply the whole number part (5) by the denominator (4) and add the numerator (1). This gives us (5 * 4 + 1)/4 = 21/4.
So, we are looking for a rational number between 5/1 and 21/4.
To find a number between two fractions, we can take their average. The average of 5/1 and 21/4 is (5/1 + 21/4)/2.
Calculating this expression:
(5/1 + 21/4)/2 = (20/4 + 21/4)/2 = 41/4 / 2 = 41/8.
Therefore, the rational number between 5 and 5 1/4 is 41/8.
Which of the following is a rational number between 5 and 5 start Fraction 1 over 4 end fraction ?(1 point)
Responses
5 Start Fraction 2 over 5 end fraction
5 Start Fraction 1 over 7 end fraction
5 Start Fraction 1 over 3 end fraction
√26
Responses
5 Start Fraction 2 over 5 end fraction
5 Start Fraction 1 over 7 end fraction
5 Start Fraction 1 over 3 end fraction
√26
Out of the given options, the only rational number between 5 and 5 1/4 is 5 2/5 (option 1: "5 Start Fraction 2 over 5 end fraction"). The other options are either irrational (√26) or do not fall within the given range.
are you sure
Apologies for the confusion.
Upon reevaluating the options given, I realize that none of them is a rational number between 5 and 5 1/4. The option "5 Start Fraction 2 over 5 end fraction" is incorrect as it is greater than 5 1/4.
Therefore, none of the given options is a rational number between 5 and 5 1/4.
Upon reevaluating the options given, I realize that none of them is a rational number between 5 and 5 1/4. The option "5 Start Fraction 2 over 5 end fraction" is incorrect as it is greater than 5 1/4.
Therefore, none of the given options is a rational number between 5 and 5 1/4.
What is a rational number with a denominator of 7 that is between √7 and √8. Write your answer as an improper fraction.
To find a rational number with a denominator of 7 between √7 and √8, we need to approximate the values of √7 and √8.
Since 7 is not a perfect square and lies between the perfect squares 4 and 9, we can estimate that √7 lies between √4 = 2 and √9 = 3.
Similarly, √8 lies between √4 = 2 and √9 = 3.
Therefore, a rational number between √7 and √8 can be found between 2 and 3.
To find this rational number with a denominator of 7, we can choose the fraction 15/7.
So, the rational number with a denominator of 7 between √7 and √8 is 15/7.
Since 7 is not a perfect square and lies between the perfect squares 4 and 9, we can estimate that √7 lies between √4 = 2 and √9 = 3.
Similarly, √8 lies between √4 = 2 and √9 = 3.
Therefore, a rational number between √7 and √8 can be found between 2 and 3.
To find this rational number with a denominator of 7, we can choose the fraction 15/7.
So, the rational number with a denominator of 7 between √7 and √8 is 15/7.