Question

youre comparing two boxes of cereal. one contains 18.675 ounces of cereal and the other contains $18\frac{3}{4}$ ounces of cereal. which inequality shows the correct comparison of the two amounts?select one of four\\(18.675 > 18\frac{3}{4}\\)\\(18.75 < 18\frac{3}{4}\\)\\(18.75 > 18\frac{3}{4}\\)\\(18.675 < 18\frac{3}{4}\\)remaining attempts: 1

Explanation:

Step1: Convert the mixed number to decimal

To compare \(18\frac{3}{4}\) and \(18.675\), first convert \(18\frac{3}{4}\) to a decimal. We know that \(\frac{3}{4}=0.75\), so \(18\frac{3}{4}=18 + 0.75 = 18.75\).

Step2: Compare the two decimals

Now we compare \(18.675\) and \(18.75\). Since \(18.675\) is less than \(18.75\), the inequality is \(18.675 < 18\frac{3}{4}\).

Answer:

\(18.675 < 18\frac{3}{4}\) (the option with \(18.675 < 18\frac{3}{4}\))