What happens to the product when we multiply two fractions? (Explain by taking
example of both proper and improper fraction)
Answers
Introduction
Mathematicians use three categories to describe fractions: proper, improper, and mixed.
Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator. When a fraction has a numerator that is greater than or equal to the denominator, the fraction is an improper fraction. An improper fraction is always 1 or greater than 1. And, finally, a mixed number is a combination of a whole number and a proper fraction.
Identifying Proper and Improper Fractions
In a proper fraction, the numerator is always less than the denominator. Examples of proper fractions include and .
In an improper fraction, the numerator is always greater than or equal to the denominator. Examples of improper fractions include and
Answer:
A proper fraction is a fraction in which numerator is less than the denominator.<br> An improper fraction is a fraction in which numerator is greater than the denominator.<br> (a) Let<br> Here,andare proper fractions.<br> Then, their product<br> As,<br> So, product of two proper fractions is less than each of the fractions.<br> (b) Let<br> Here,is a proper fraction andis an improper fraction.<br> Then, their product<br> As,<br> So, the product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.<br> (c) Let
Step-by-step explanation:
A proper fraction is a fraction in which numerator is less than the denominator.<br> An improper fraction is a fraction in which numerator is greater than the denominator.<br> (a) Let<br> Here,andare proper fractions.<br> Then, their product<br> As,<br> So, product of two proper fractions is less than each of the fractions.<br> (b) Let<br> Here,is a proper fraction andis an improper fraction.<br> Then, their product<br> As,<br> So, the product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.<br> (c) Let