Question

(c) based on your answers above, compare the numbers below using <, >, or =.
\\(\frac{3}{5}\\) \\(square\\) 0.6
75% \\(square\\) \\(\frac{3}{5}\\)

Explanation:

Step1: Compare $\frac{3}{5}$ and 0.6

To compare the fraction $\frac{3}{5}$ and the decimal 0.6, we can convert the fraction to a decimal.
The formula for converting a fraction $\frac{a}{b}$ to a decimal is $a\div b$.
So, for $\frac{3}{5}$, we have $3\div5 = 0.6$.
Since $0.6 = 0.6$, we can say that $\frac{3}{5}=0.6$.

Step2: Compare 75% and $\frac{3}{5}$

First, convert 75% to a decimal. To convert a percentage to a decimal, we divide by 100. So, $75\%=\frac{75}{100}=0.75$.
Then, convert $\frac{3}{5}$ to a decimal as we did before: $3\div5 = 0.6$.
Now, compare 0.75 and 0.6. Since $0.75>0.6$, we can say that $75\%>\frac{3}{5}$.

Answer:

$\frac{3}{5}=\boldsymbol{0.6}$; $75\%>\boldsymbol{\frac{3}{5}}$