Question

key idea
how can i compare fractions with different denominators?
when comparing fractions with different denominators, i can rewrite the fractions so that they have?
write a fraction equivalent to \\(\frac{4}{5}\\) so that the denominator is also 10.

Explanation:

Step1: Recall equivalent fractions

To find an equivalent fraction of $\frac{4}{5}$ with denominator 10, we need to determine what number we multiply the denominator 5 by to get 10. Let's call this number $x$. So, $5\times x = 10$. Solving for $x$, we divide both sides by 5: $x=\frac{10}{5}=2$.

Step2: Multiply numerator and denominator

Since we multiply the denominator by 2, we must also multiply the numerator by 2 to keep the fraction equivalent. So, the numerator becomes $4\times2 = 8$, and the denominator is 10. Thus, the equivalent fraction is $\frac{8}{10}$.

For the second part, when comparing fractions with different denominators, we rewrite them to have the same denominator (a common denominator).

Answer:

The equivalent fraction of $\frac{4}{5}$ with denominator 10 is $\frac{8}{10}$. When comparing fractions with different denominators, we rewrite them to have the same denominator.