Question

which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

Answer 1

Answer:

17/160

Step-by-step explanation:

which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

5/113

7/120

13/145

17/160

Lets find LCM of  Denominators

113 , 120  , 145  , 160

113 = 113 * 1

120 = 2 * 2 * 2 * 3 * 5

145 = 5 * 29

160 = 2 * 2 * 2 * 2 * 2 * 5

LCM = 113 * 2 * 2 * 2 * 2 * 2 * 3 * 5 * 29   = 1572960

5/113  = (5 /113) * (1572960/1572960) = 69660/1572960

similarly

7/120 = 91756/1572960

13/145 = 141024/1572960

17/160 = 167127/1572960

167127 is largest

so 17/160 is largest