Question

How do you write in simplest form given $ \dfrac{6}{7}-\dfrac{3}{7} $ ?

Answer 1

Hint: In this question, we are given subtraction of two fractions and we need to simplify it. For this, we will first check if these are like fractions or unlike fractions. If they are unlike fractions, we will first change them to like fractions by suitable multiplication. If they are like fractions, we just simply need to subtract the numerator and keep the denominator the same. At last, we will simplify it by removing any common factors between the numerator and the denominator. Fractions having the same denominator are called fractions and fractions having different denominators are called, unlike fractions.

Complete step by step answer:
Here we are given two fractions as $ \dfrac{6}{7},\dfrac{3}{7} $ . We need to find their difference and simplify the result. Before proceeding, we need to check if the fractions are like fractions or unlike fractions. For this, we need to check their denominator. If both fractions have the same denominator, then they are considered as a like fraction and if they have different denominators they are considered as, unlike fractions.
As we can see both $ \dfrac{6}{7},\dfrac{3}{7} $ has the same denominator as 7, so these are like fractions. For finding the difference between them, we just need to find the difference between their numerators. Their numerator is 6 and 3. Subtracting them we get 6-3 = 3.
So our fraction becomes $ \dfrac{3}{7} $ .
Now we need a simplified answer.
A fraction is said to be in its simplest form if its numerator and denominator have no common factor other than 1. If it does, we need to divide both the numerator and the denominator with the common factor to get a simplified fraction.
Here both 3 and 7 do not have any common factor other than 1, therefore it is already in simplified form.
Hence $ \dfrac{3}{7} $ is the required answer.

Note:
Students should note that we look into denominators only for checking like and unlike fractions $ \dfrac{1}{7}\text{ and }\dfrac{1}{6} $ are not like a fraction. We can add or subtract only like fractions. While adding/subtracting like fractions, only the numerator is added/subtracted and the denominator remains the same.