Convert 0.72 to a rational number in the simplest form
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.
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.
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
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.
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.
To convert 0.72 to a rational number in its simplest form, we need to express it as a fraction with both the numerator and the denominator being whole numbers. Here's how you can do it step by step:
Step 1: Let x be the decimal we want to convert. In this case, x = 0.72.
Step 2: Since there are two decimal places in 0.72, we can multiply both sides of the equation by 100 to move the decimal point two places to the right, which gives us 100x = 72.
Step 3: Simplify the equation by dividing both sides by the greatest common divisor (GCD) of 100 and 72, which is 4. Doing this gives us 25x = 18.
Step 4: Now, we can express 18/25 as a fraction in its simplest form. To do this, we find the GCD of 18 and 25, which is 1. Therefore, the fraction 18/25 is already in simplest form.
Hence, the rational number equivalent of 0.72 in its simplest form is 18/25.