compare $\frac{7}{10}$ and $\frac{4}{5}$. first, write a fraction equivalent to $\frac{4}{5}$ with a…

compare $\frac{7}{10}$ and $\frac{4}{5}$. first, write a fraction equivalent to $\frac{4}{5}$ with a denominator of 10. $\frac{4}{5}=\frac{?}{10}$

compare $\frac{7}{10}$ and $\frac{4}{5}$. first, write a fraction equivalent to $\frac{4}{5}$ with a denominator of 10. $\frac{4}{5}=\frac{?}{10}$

Answer

Explanation:

Step1: Find equivalent fraction

To get a denominator of 10 for $\frac{4}{5}$, multiply both numerator and denominator by 2 since $5\times2 = 10$. So $\frac{4\times2}{5\times2}=\frac{8}{10}$.

Step2: Compare fractions

We have $\frac{8}{10}$ and $\frac{7}{10}$. When denominators are the same, the fraction with the larger numerator is larger. Since $8>7$, $\frac{8}{10}>\frac{7}{10}$.

Answer:

The fraction equivalent to $\frac{4}{5}$ with a denominator of 10 is $\frac{8}{10}$, and $\frac{8}{10}>\frac{7}{10}$