Question

The fractions with same denominator are called _____ fraction. \[\]
A.unit \[\]
B.unlike \[\]
C.like \[\]
D.none\[\]

Answer 1

Hint: We recall the fraction, numerator, and denominator of a fraction. We recall that fractions with the same denominator are called fractions and the fraction with different denominators is called, unlike fraction. We also recall that unit fraction is a fraction with numerator 1. \[\]

Complete step by step answer:
We know that a fraction is a number that represents part of a whole. A fraction is always represented in the form of $ \dfrac{p}{q} $ where the positive number $ p $ above the line is called the numerator and the positive number $ q $ below the line is called denominator. \[\]
We call two fractions like fractions when their denominators are equal and we call two fractions unlike fractions when their denominators are not equal. For example, $ \dfrac{1}{5},\dfrac{8}{5} $ are like fractions because they have the same denominator 8 but $ \dfrac{1}{5},\dfrac{2}{4} $ are unlike fractions because they do not have the same denominator. \[\]

There can be more than two numbers of like fractions too for example $ \dfrac{1}{7},\dfrac{3}{7},\dfrac{12}{7},\dfrac{7}{7} $ .
We know that the unit fraction is a fraction with numerator 1 and denominator is a positive number, for example $ \dfrac{1}{5},\dfrac{1}{7} $ . Since two unit fractions can never have the same denominator, they cannot be like fractions. So the correct option is C. \[\]


Note:
We should remember that we should only see if the denominators are equal without regarding whether the numerators are equal or not. We also note that we can add and subtract two fractions only when they are like fractions. We can compare two fractions if either they are like fractions or their numerators are equal. We note that if we multiply a non-zero number $ k $ in the numerator and denominator of the fraction $ \dfrac{p}{q} $ , we get equivalent fractions of $ \dfrac{p}{q} $ .