write in ascending order -3 by 4. -5 by -12. -7 by 16
Answers
Arrange the following fractions 1/2, 3/8, 2/3, 4/5 in ascending order.
First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. of 2, 8, 3 and 5 = 120
Now to make the fraction as like fractions divide the L.C.M. by the denominator of fractions, then multiply both the numerator and denominator of fraction with the number get after dividing L.C.M.
As in fraction 1/2 denominator is 2.
Divide 120 ÷ 2 = 60
Now, multiply both numerator and denominator by 60 = 1 × 60/2 × 60 = 60/120
Similarly, 3/8 = 3 × 15/8 × 15 = 45/120 (because 120 ÷ 8 = 15)
2/3 = 2 × 40/3 × 40 = 80/120 (because 120 ÷ 3 = 40)
and 4/5 = 4 × 24/5 × 24 = 96/120 (because 120 ÷ 5 = 24)
Now, we compare the like fractions 60/120, 45/120, 80/120 and 96/120
Comparing numerators, we find that 96 > 80 > 60 > 45
Therefore, 96/120 > 80/120 > 60/120 > 45/120
or 4/5 > 2/3 > 1/2 > 3/8
or 3/8 < 1/2 < 2/3 < 4/5
The ascending order of the fractions is 3/8 < 1/2 < 2/3 < 4/5.