Which is larger 1/3or 2/5

Dear Student,

T o c o m p a r e f r a c t i o n s w e f i r s t m a k e t h e i r d e n o m i n a t o r s a m e, t o d o t h i s w e t a k e t h e L C M o f t h e d e n o m i n a t o r L C M o f (3, 5) i s 15 N o w, w e m u l t i p l y \frac{1}{3} b y (15 \div 3) = 5 a n d \frac{2}{5} b y (15 \div 5) = 3 t o m a k e t h e i r d e n o m i n a t o r s a m e S o, \frac{1}{3} \times \frac{5}{5} = \frac{5}{15} a n d \frac{2}{5} \times \frac{3}{3} = \frac{6}{15} N o w, w e c a n e a s i l y s e e t h a t \frac{6}{15} i s g r e a t e r . S o, \frac{2}{5} > \frac{1}{3}

Regards