Question

The greatest fraction between 7/15 and 8/13 is

Answer 1

LCM of 15 and 13 = 195
Now, 
7/15=7*13/15*13
        = 91/195
8/13= 8*15/13*15
        = 120/195
Since 91<120
120/195, i.e. 8/13 is the greatest.

Answer 2

Answer:

$\frac{8}{13}>\frac{7}{15}$

Step-by-step explanation:

Given : Two fractions $\frac{7}{15},\frac{8}{13}$

To find : The greatest fraction between given two fractions

Solution : First we take the LCM of the denominators of both fraction so that we can make their denominator same.

LCM of 15 and 13 = 195

Now, make their denominator same by :

Multiplying numerator and denominator by 13 in fraction 7/15

$\frac{7}{15}=\frac{7\times 13}{15\times 13}= \frac{91}{195}$

Then multiplying numerator and denominator by 15 in fraction 8/13

$\frac{8}{13}=\frac{8\times 15}{13\times 15}= \frac{120}{195}$

We know in fraction if denominator is same then lesser the numerator than other is lesser the fraction.

Therefore, $\frac{120}{195}>\frac{91}{195}$

or $\frac{8}{13}>\frac{7}{15}$