Answer:
[tex]\frac{3}{12} ,\frac{8}{12}[/tex]
Step-by-step explanation:
Given fraction: 1/4 and 2/3
To find common denominator, we will use Least common divisor (LCD) of 4 and 3.
[tex]4= 2\times 2\\3= 3\times 1[/tex]
∴ Least common divisor (LCD) = [tex]4\times 3= 12[/tex]
Now, to make denominator common for both the fractions, we need to multiply denominator with a number equal to 12.
∴ [tex]\frac{1}{4} =\frac{?}{12}[/tex]
Multiply numerator and denominator by 3
[tex]\frac{1\times 3}{4\times 3} = \frac{3}{12}[/tex]
Next solving for another fraction:
[tex]\frac{2}{3} =\frac{?}{12}[/tex]
Multiply numerator and denominator by 4
[tex]\frac{2\times 4}{3\times 4} = \frac{8}{12}[/tex]
∴ We have [tex]\frac{3}{12}\ and \ \frac{8}{12}[/tex] with common denominator.
