Answer:
The common denominator [tex]\frac{15}{20}[/tex] and [tex]\frac{8}{20}[/tex]
Step-by-step explanation:
To find the common denominator:
- We have to find the LCD of the denominators.
- Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.
Here is the work:
LCD of [tex](4,5)[/tex] is [tex](4\times 5)=20[/tex].
So we will divide [tex]20[/tex] with [tex]4[/tex] and then with [tex]5[/tex] the quotient will further be put into the fraction.
So
[tex]\frac{20}{4}=5[/tex] will make the fraction [tex]\frac{3}{4}[/tex] as [tex]\frac{3\times 5}{4\times 5} =\frac{15}{20}[/tex].
Similarly
[tex]\frac{20}{5}=4[/tex] will make the fraction [tex]\frac{2}{5}[/tex] as [tex]\frac{2\times 4}{5\times 4} =\frac{8}{20}[/tex].
Hence with common denominators the fraction can be written as [tex](\frac{15}{20}),(\frac{8}{20})[/tex].
