Question

Convert the given fractions into like fractions. a) 5/6 , 2/5 b) 3/8 , 1/6

ans me fast please​

Answer 1

Step-by-step explanation:

1/3, 2/5, 3/4, 1/6

L.C.M. of denominators 3, 5, 4, 6 = 60

= 2 × 3 × 1 × 5 × 2 × 1 = 60

Now, 1/3 = (1 × 20)/(3 × 20) = 20/60

2/5 = (2 × 12)/(5 ×12) = 24/60 ; 3/4 = (3 × 15)/(4 × 15) = 45/60

1/6 = (1 × 10)/(6 × 10) = 10/60

1/3, 2/5, 3/4 and 1/6 = 20/60, 24/60, 45/60, 10/60

(ii) 5/6, 7/8, 11/12, 3/10

L.C.M. of denominators 6, 8, 12, 10 = 120

= 2 × 2 × 3 × 2 × 5 = 120

Now, 5/6 = (5 × 20)/(6 × 20) = 100/120 ;

7/8 = (7 × 15)/(8 × 15) = 105/120 ; 11/12 = (11 × 10)/(12 × 10)

= 110/120 ; 3/10 = (3 × 12)/(10 × 12) = 36/120

∴ 5/6, 7/8, 11/12, 3/10 = 100/120, 105/120, 110/120, 36/120

(iii) 2/7, 7/8, 5/14, 9/16

L.C.M. of denominator 7, 8 , 14, 16 = 112

= 2 × 7 × 4 × 2 = 112

Now, 2/7 = (2 × 16)/(7 × 16) = 32/112 ; 7/8 = (7 ×14)/(8 × 14)

= 98/112; 5/14 = (5 × 8)/(14 × 8) = 40/112 ; 9/16

= (9 × 7)/(16 × 7) = 63/112

∴ 2/7, 7/8, 5/14, 9/16

= 32/112, 98/112, 40/112, 63/112