Question

Tanja is converting a fraction into a decimal by finding an equivalent fraction that has a power of 10 in the denominator. Sara looks at the last step in Tanja's work (shown below) and says that she cannot go any further. Is Sara correct? If she is, explain why. If Sara is incorrect, complete the remaining steps.

\frac{72}{480} = \frac{ 2^{3} * 3^{2} }{2^{5}*3*5 }
Can someone please help me out??? I am so confused!

Answer 1

your equation is
`(72)/(480)=( 2^(3) * 3^(2) )/(2^(5)*3*5 )`

no because 2*5=10, so we can make a 10 out of the denomenator
like this
`(2^3*3^2)/(2^4*3*(2*5))=(2^3*3^2)/(2^4*3*(10))`

you just got to divide the top and bottom by 48 to get 1.5/10 then 0.15/1=0.15