Chapter 7.1, Problem 39PPS

To determine

To calculate:To find that which sign is appropriate.

Answer to Problem 39PPS

Hence, the result is $75\%=\frac{36}{48}$

Explanation of Solution

Given information:

  $75\%\odot \frac{36}{48}$

Calculation:

As per given information,

first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of $36$ and $48$ usingGCF $\left(36,48\right)=12$

  $\frac{36÷12}{48÷12}=\frac{3}{4}$

Convert it into a decimal & then as a percent

  $=\frac{3}{4}=0.75$

So, to change decimal form into percent, multiply by $100$

  $=0.75\times 100=75\%$

Now, compare both the percent

  $120\%>117\%$

Hence, the missing sign is $75\%=\frac{36}{48}$