Answer:
3/10
Step-by-step explanation:
Just multiply all of the numerators (top numbers) and then multiple all of the denominators (bottom numbers)
2/3x3/4x3/5 would be 18/60 Then take any number that is a factor to both 18 and 60 and divide both numbers by that factor. I could use 2 or 3 or 6 because both 18 and 60 is divisible by any of these numbers. I will choose 3. I will divide the top and bottom of 18/60 by 3 to get 6/20, now I will divide the top and bottom of that number by 2 to get 3/10
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}[/tex]
[tex]\mathsf{= \dfrac{2\times3\times3}{3\times4\times5}}[/tex]
[tex]\mathsf{= \dfrac{6\times3}{12\times5}}[/tex]
[tex]\mathsf{= \dfrac{18}{60}}[/tex]
[tex]\mathsf{= \dfrac{18\div3}{60\div 3}}[/tex]
[tex]\mathsf{= \dfrac{6}{20}}[/tex]
[tex]\mathsf{= \dfrac{6\div2}{20\div2}}[/tex]
[tex]\mathsf{= \dfrac{3}{10}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\dfrac{3}{10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
