Question

Which of these is equal to ⅔ × ¾ × ⅗?

Answer 1

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

Answer 2

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}$

$\huge\textbf{Simplifying:}$

$\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}$

$\mathsf{= \dfrac{2\times3\times3}{3\times4\times5}}$

$\mathsf{= \dfrac{6\times3}{12\times5}}$

$\mathsf{= \dfrac{18}{60}}$

$\mathsf{= \dfrac{18\div3}{60\div 3}}$

$\mathsf{= \dfrac{6}{20}}$

$\mathsf{= \dfrac{6\div2}{20\div2}}$

$\mathsf{= \dfrac{3}{10}}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\frak{\dfrac{3}{10}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$