Question

Identify the smallest fraction out of the following Fraction and circle it ​

Answer 1

COMPLETE QUESTION:

Identify the smallest fraction out of the following Fraction.

7/6, 7/9, 4/5, 5/7

Solution:

To find the smallest fraction, make all the denominators same by the following process.

The given fractions are:

$\dfrac{7}{6}, \: \dfrac{7}{9}, \: \dfrac{4}{5}, \: \dfrac{5}{7}$

LCM of 6, 9, 5, 7 = 630

$= > \dfrac{7}{6} \times \dfrac{105}{105} = \dfrac{735}{630}$

$= > \dfrac{7}{9} \times \dfrac{70}{70} = \dfrac{490}{630}$

$= > \dfrac{4}{5} \times \dfrac{126}{126} = \dfrac{504}{630}$

$= > \dfrac{5}{7} \times \dfrac{90}{90} = \dfrac{450}{630}$

Denominators are same now take only the numerator:

$735 > 504 > 490 > 450$

Hence, 5/7 is the smallest fraction.