Respuesta :
Answer: The LCD of [tex]\frac{-3}{14}[/tex] and [tex]\frac{1}{10}[/tex] is 70. The fourth option is correct.
Explanation:
The two Numbers are [tex]\frac{-3}{14}[/tex] and [tex]\frac{1}{10}[/tex].
The full form of LCD is least common denominator. It is the least number which the multiple of denominator.
The denominator of first number is 14 and the denominator of second number is 10.
Factor of 14 are 2 and 7. Factor of 10 are 5 and 2.
So the factors of LCD are 2,7,2,5. Since 2 is common in both so we will take the factor 2 one time.
[tex]LCD=2\times 7\times 5=70[/tex]
Therefore, the LCD of given numbers is 70.
Answer:
The LCD of [tex]-\frac{3}{14}[/tex] and [tex]\frac{1}{10}[/tex] is 70.
Step-by-step explanation:
Given : Fractions [tex]-\frac{3}{14}[/tex] and [tex]\frac{1}{10}[/tex]
To find : The LCD of the fractions ?
Solution :
LCD is the least common denominator,
Fractions [tex]-\frac{3}{14}[/tex] and [tex]\frac{1}{10}[/tex]
The denominators in fraction are 14 and 10.
The LCD is
2 | 14 10
5 | 7 5
7 | 7 1
| 1 1
[tex]LCD(14,10)=2\times 5\times 7[/tex]
[tex]LCD(14,10)=70[/tex]
Therefore, The LCD of [tex]-\frac{3}{14}[/tex] and [tex]\frac{1}{10}[/tex] is 70.