3. If A:B = 7:5 and B:C=9:14, find A:C. 4. If A:B=5:8 and B: C = 16:25, find A:C. 5. If A:B=3:5 and B:C = 10:13, find A:B:C. 6. If A:B = 5:6 and B:C = 4:7. find A:B:C.
Answers
Answer:
3. 63 : 45 : 70
4. 8 : 16 : 25
5. 6 : 10 : 13
6. 10 : 12 : 21
Step-by-step explanation:
3.
A : B : C
7 : 5 : ?
? : 9: 14
Least Common Multiple of 5&9 = 45
A : B : C
7*9=63 : 5*9=45 : ?
? : 9*5=45 : 14*5=70
A : B : C = 63 : 45 : 70
4.
A : B : C
5 : 8 : ?
? : 16: 25
Least Common Multiple of 8&16 = 16
A : B : C
5*2=10 : 8*2=16 : ?
? : 16*1=16 : 25*1=25
A : B : C = 8 : 16 : 25
5.
A : B : C
3 : 5 : ?
? : 10: 13
Least Common Multiple of 5&10 = 10
A : B : C
3*2=6 : 5*2=10 : ?
? : 10*1=10 : 13*1=13
A : B : C = 6 : 10 : 13
6.
A : B : C
5 : 6 : ?
? : 4 : 7
Least Common Multiple of 6&4 = 12
A : B : C
5*2=10 : 6*2=12 : ?
? : 4*3=12 : 7*3=21
A : B : C = 10 : 12 : 21
Glossary:
Least Common Mutiple : In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b. (taken from Wikipedia)
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