Arrange-5/9, 7/12,-2/3and11/18 in the ascending order of their magnitudes.
Also , find the difference between the largest and the smallest of these rational numbers. Express this difference as a decimal fraction correct to one decimal place
Answers
-5/9, 7/12, -2/3, 11/18
LCM of 9,12,3 and 18 is 108.
-5/9=-5×12/9×12=-60/108
7/12=7×9/12×9=63/108
-2/3=-2×36/3×36=-72/108
11/18=11×6/18×6=66/108
Ascending order: -72/108, -60/108, 63/108, 66/108
=-2/3, -5/9, 7/12, 11/18.
Difference between smallest and largest rational number=11/18-(-2/3)
=11/18+2/3
=lcm of 18 and 3 is 18
11/18= 11×1/18×1=11/18
2/3=2×6/3×6=12/18
11/18+12/18
= 23/18
Answer:
Step-by-step explanation:
-5/9, 7/12, -2/3, 11/18
LCM of 9,12,3 and 18 is 108.
-5/9=-5×12/9×12=-60/108
7/12=7×9/12×9=63/108
-2/3=-2×36/3×36=-72/108
11/18=11×6/18×6=66/108
Ascending order: -72/108, -60/108, 63/108, 66/108
=-2/3, -5/9, 7/12, 11/18.
Difference between smallest and largest rational number=11/18-(-2/3)
=11/18+2/3
=lcm of 18 and 3 is 18
11/18= 11×1/18×1=11/18
2/3=2×6/3×6=12/18
11/18+12/18
= 23/18
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