Question

1. Compare the fractions:
(i)
5/8 and 7/12​

Answer 1

5/8 > 7/12

Step-by-step explanation:

Lcm of 8 and 12 = 24

So 5x3/8x3=15/24

And 7x2/12x2=14/24

Hence, 5/8 > 7/12.

Thanks.

Answer 2

Solution:

Concept to understand :

• Firstly we have to make there denominator same. So, that we can compare the both fractions. Then, we will multiply and divide the fractions so that denominator of both come same. Once we got same denominator of both fractions then we can easily compare them.

Steps :

1. Take L.C.M of denominator of both the fraction to know with which number should we multiply.
2. Once we got LCM, we just have to the number that we have got LCM by multiplying the denominator with it. then we will get same denominator of both fractions.
3. After getting same denominator we can compare them.

Let's start solving,

$\implies \sf \dfrac{5}{8}\;\;\;\;\;and\;\;\;\;\;\dfrac{7}{12}\\\\\longmapsto \textsf {we got LCM is 24.So, we have to make denominator be 24.\\}\\\textsf{ \;\;\;\;\;\;by multiplying and dividing both fractions by same number.}\\\\\implies\sf\dfrac{5}{8}\times \dfrac{3}{3}\;\;\;\;\;and\;\;\;\;\;\dfrac{7}{12}\times\dfrac{2}{2}\\\\\\\implies\dfrac{15}{24}\;\;\;\;\;\sf and\;\;\;\;\;\dfrac{14}{24}\\\\\mapsto\sf Here ,\\\sf \;\;\;\;\;\\\: \dfrac{15}{24} \;is \;greater\;than \;\dfrac{14}{24}$

So, we can say that 5/8 is greater than 7/12.

Therefore,

• $\dfrac{5}{8}>\dfrac{7}{12}$