The above statement is not true!
-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.
Its reciprocal is either less than 0 or greater than 1.
Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.
Proper fractions are less than one.. Their numerators re less than their denominators. Their reciprocals have numerators greater than their denominators, making them improper. Improper fractions are greater than 1.
No. In fact, the reciprocal of 0 is not defined.
When both fractions are less than 1, their values are represented by numbers between 0 and 1. Dividing one fraction by another (where both are less than 1) effectively involves multiplying by the reciprocal of the denominator, which is greater than 1. This means the quotient will yield a result that is larger than either of the original fractions. Thus, the quotient of two fractions, both less than 1, will always be greater than either fraction.
That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.
Yes
A mixed number must have an integer part (and a fractional part). Consequently, a mixed number must be greater than one. The reciprocal of a number greater than one is less than one (and conversely) since the two, when multiplied together, make 1.
What is the question ? This is often referred to as an "improper" fraction. It can always be re-written as an integer (whole number) plus a proper fraction (a fraction less than one).