Respuesta :
That is actually false. The LCD of two fractions is the same as the LCM of the denominators, not numerators :) Hope this helped!
The statement 'The LCD of two fractions is the same as the LCM of the numerators of the fractions' is false.
What is LCD?
"The least common denominator is the smallest number that is a common denominator for a given set of fractions."
What is LCM?
"The least common multiple of two numbers is the lowest possible number that is divisible by both the numbers."
For given example,
Let [tex]\frac{2}{3}, \frac{3}{7}[/tex] be two fractions.
The LCD of these two fractions would be,
[tex]=\frac{2}{3}\\\\=\frac{2\times 7}{3\times 7} \\\\=\frac{14}{21}[/tex]
And for fraction [tex]\frac{3}{7}[/tex],
[tex]=\frac{3}{7}\\\\=\frac{3\times 3}{7\times 3}\\\\ =\frac{9}{21}[/tex]
Therefore, the LCD of given two fractions is 21.
The numerators of these fractions are 2, 3.
LCM of the numerators of these fractions is 6.
The denominators of these fractions: 3, 7
LCM of the denominators of these fractions is 21.
This means, the LCD of two fractions is the same as the LCM of the denominators of the fractions.
Therefore, the statement 'The LCD of two fractions is the same as the LCM of the numerators of the fractions' is false.
Learn more about LCD and LCM here:
https://brainly.com/question/7154402
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