What is the least common denominator for the fractions [tex]\frac{5}{6}[/tex] and [tex]\frac{3}{8}[/tex]?
What is the least common denominator for the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{6}{7}[/tex]?
Answer (3)
6 5 t h e d e n o mina t or i s 6 l i s t t h e m u lt i pl es o f 6 : 0 ; 6 ; 12 ; 18 ; 24 ; 30 ; 36 ; ... 8 3 t h e d e n o mina t or i s 8 l i s t t h e m u lt i pl es o f 8 : 0 ; 8 ; 16 ; 24 ; 32 ; ... L C D ( 6 5 ; 8 3 ) = 24
o t h er m t h o d 4 3 t h e d e n o mina t or i s 4 = 2 ⋅ 2 7 6 t h e d o mina t or i s 7 = 7 L C D ( 4 3 ; 7 6 ) = 2 ⋅ 2 ⋅ 7 = 28
F i rs t e x am pl e : 6 = 2 ⋅ 3 8 = 2 ⋅ 2 ⋅ 2 L C D ( 6 5 ; 8 3 ) = 2 ⋅ 2 ⋅ 2 ⋅ 3 = 24
You need to find the least common multiple of the denominators. Check: 6+6=12 6+6+6=18 6+6+6+6=24 .... 8+8=16 8+8+8=24 8+8+8+8=32 .... Now we see that the least common multiple is: 24.
Similarly, we proceed to the second: 4+4=8 4+4+4=12 4+4+4+4=16 4+4+4+4+4=20 4+4+4+4+4+4=24 4+4+4+4+4+4+4=28 .... 7+7=14 7+7+7=21 7+7+7+7=28 ..... again, we see that the least common multiple is: 28.
The least common denominator for 6 5 and 8 3 is 24. The least common denominator for 4 3 and 7 6 is 28.
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