Rewriting the given fractions as fractions with a least common denominator :
[tex]\frac{3}{4} = \frac{9}{12} \\ \\\frac{5}{6} = \frac{10}{12}[/tex]
First step : determine the least common multiple of the given fractions
[tex]( \frac{3}{4} , \frac{5}{6} )[/tex] ; denominators = 4, 6
∴ the least common multiple = 12
quotient values : 3, 2
Note : the least common multiple is the least number divisible without remainder by both denominator values
hence the LCD ( least common denominator ) = 12
Next step : rewrite the given fractions
multiply the numerator and denominator of the initial equations by their quotients obtained from step 1
[tex]\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]
[tex]\frac{5}{6} * \frac{2}{2} = \frac{10}{12}[/tex]
Hence the writing the fractions with a least common denominator = [tex]\frac{9}{12} ,\frac{10}{12}[/tex]
learn more : https://brainly.com/question/19039493
