Yes.
no No; a mixed number is rational. Irrational means it cannot be written as a fraction, but mixed numbers can always be written as (improper) fractions. *By the way, improper fractions are still fractions, despite their degrading name! It just means the fraction's numerator is larger than its denominator.
Yes, it's still a TYPE of fraction, because it's not a whole number. 21/8 and 3/8 are both fractions.
Improper fractions are those for which the numerator (top number) is larger than the denominator (bottom number). When they are changed to proper fractions, they are actually mixed numbers (a whole number and a fraction). In order to convert a mixed number to an improper fraction, multiply the whole number and the denominator, then add the numerator. Then, put you answer over the denominator of the fraction. For example: 5 3/8 5 times 8 equals 40, 40 plus 3 is 43. 43 becomes the numerator and 8 is still the denominator. 5 3/8 equals 43/8.
There are no such fractions. No matter how close a fraction is to zero, there are still infinitely many that are closer.
Yes.
reciprocal of a negative is still a negative, and 2 and a quarter can be rewritten as 9/4. The reciprocal of this number is 4/9. Therefore, the reciprocal of -2 and a quarter is -4/9.
Yes - after converting to an improper fraction, you flip it. Example: find the reciprocal (i.e., the multiplicative inverse) of 2 1/2 (two and a half). Reciprocal of (2 1/2) = reciprocal of (5/2) = 2/5.
no No; a mixed number is rational. Irrational means it cannot be written as a fraction, but mixed numbers can always be written as (improper) fractions. *By the way, improper fractions are still fractions, despite their degrading name! It just means the fraction's numerator is larger than its denominator.
To convert from mixed number to improper fractions, you first need to multiply the whole part by the given denominator. In this case, the denominator is 12 and the whole part is 2. Multiplying gives: 2x12 = 24. This is then added on to the existing numerator: 24+8 = 32 And so as an improper fraction the answer is 32/12 Note that this can still be simplified down to 8/3
-- If the numerator and denominator of the fraction are both whole numbers,then the fraction is definitely a rational number.-- Even if they're not both whole numbers, it still canbe a rational number.-- Makes no difference whether the fraction is negative or positive, improper or proper.
Yes, it's still a TYPE of fraction, because it's not a whole number. 21/8 and 3/8 are both fractions.
For a set to be closed under any operation, the result of the operation must also be a member of the set. The result of adding fractions is another fraction, thus it is closed under addition. Remember that 8/3, 8/4, 4/4, 2/1 are all fractions - they have a numerator and denominator separated by a line (at an oblique angle on the computer screen). Improper fractions are still fractions.
The inverse operation of addition would be subtraction. The inverse operation of subtraction would be addition. The inverse operation of multiplication is division and the inverse operation of division is multiplication. It is called the inverse operation because you are reversing the equation. If you add, subtract, multiply, or divide the same number on each side of the equation, then the equation would still be true. As long as you are doing the same thing on BOTH side of the equation. The reciprocal is used for dividing fractions. All you have to do for finding the reciprocal of a fraction is flip the fraction. Ex: The reciprocal of 1/4 is 4. The reciprocal of 5/8 is 8/5. You can check by multiplying the two fractions. It will equal to one if you did it right. I hope this helped a little bit.
Improper fractions are those for which the numerator (top number) is larger than the denominator (bottom number). When they are changed to proper fractions, they are actually mixed numbers (a whole number and a fraction). In order to convert a mixed number to an improper fraction, multiply the whole number and the denominator, then add the numerator. Then, put you answer over the denominator of the fraction. For example: 5 3/8 5 times 8 equals 40, 40 plus 3 is 43. 43 becomes the numerator and 8 is still the denominator. 5 3/8 equals 43/8.
2/9 of 18 = 4 In fractions, it is still 4.
There are no such fractions. No matter how close a fraction is to zero, there are still infinitely many that are closer.