Question

1. compare using <, >, or =. 14.75 ÷ 2.5 ○ 4.6

Explanation:

Step1: Calculate the left side

We need to compute \(14.75\div2.5\). To make the division easier, we can multiply both the numerator and the denominator by 100 to eliminate the decimals: \(\frac{14.75\times100}{2.5\times100}=\frac{1475}{250}\). Then we simplify this fraction. Dividing 1475 by 250, we get \(1475\div250 = 5.9\).

Step2: Compare the two values

Now we compare \(5.9\) (the result of \(14.75\div2.5\)) with \(4.6\). Since \(5.9\) is greater than \(4.6\), we use the greater - than symbol (\(>\)).

Answer:

\(14.75\div2.5>4.6\)