Question

Which group of fractions are like fractions among the following
1) $\dfrac{2}{7},\dfrac{3}{7},\dfrac{4}{7}$
2) $\dfrac{1}{9},\dfrac{2}{9},\dfrac{4}{9}$

Answer 1

Hint:
The fractions with the same denominator are called the like fractions. Also when we say fraction, we need to keep in mind numerator and denominator won’t be having any factors in common. If they have then first we’ll simplify them then proceed.

Complete step by step solution:
Like fractions :
The fractions with the same denominator are known as like fractions
Here in (i) the fractions $\dfrac{2}{7},\dfrac{3}{7},\dfrac{4}{7}$ all have the same denominator 7 .
Hence they are like fractions.
And in (ii) the fractions$\dfrac{1}{9},\dfrac{2}{9},\dfrac{4}{9}$ all have the same denominator 9
Hence even they are like fractions

Therefore, both the given set of fractions are like fractions.

Note:
The various types of fractions are:
1. The same Numerator Fractions:
The factors having the same numerators are called the same numerator fractions.
2. Unit Fractions:
The fractions having one (1) as their numerator are called unit fractions.
3.Proper fractions:
A fraction in which the denominator is greater than the numerator is called a proper fraction. We can also say that a fraction with its numerator less than the denominator is known as a proper fraction.
4. Improper Fractions:
A fraction in which the denominator is smaller than or equal to its numerator is called an improper fraction. We can also say that a fraction with its numerator greater than or equal to the denominator is known as an improper fraction.
5. Mixed Fractions:
When an improper fraction is written as a combination of a whole number and a proper number, it becomes a mixed fraction or mixed number.