Respuesta :
Answer:
The common denominator for adding the fractions [tex]\frac{2}{36}[/tex], [tex]-\frac{4}{35}[/tex] and [tex]\frac{8}{21}[/tex] is 1260.
Step-by-step explanation:
To find : Which of the following numbers could be used as a common denominator for adding the fractions [tex]\frac{2}{36}[/tex], [tex]-\frac{4}{35}[/tex] and [tex]\frac{8}{21}[/tex] ?
Solution :
To find the common denominator we have to find the least common multiple of 36, 35 and 21
i.e. LCM of 36,35,21
2 | 36 35 21
2 | 18 35 21
3 | 9 35 21
3 | 3 35 7
7 | 1 35 7
5 | 1 5 1
| 1 1 1
[tex]LCM(36,35,21)=2\times 2\times 3\times 3\times 5\times 7[/tex]
[tex]LCM(36,35,21)=1260[/tex]
The common denominator for adding the fractions [tex]\frac{2}{36}[/tex], [tex]-\frac{4}{35}[/tex] and [tex]\frac{8}{21}[/tex] is 1260.
