3 Which equation is not true? \( \begin{array}{ll}1.25=1 \frac{1}{4} & 6.05<6.5 \\ 2 \frac{4}{100}=2.4 & 4 \frac{1}{4}>4 \frac{1}{3}\end{array} \)
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The Deep Dive
Let's break down the given equations for clarity! The first equation, \(1.25 = 1 \frac{1}{4}\), is true because \(1 \frac{1}{4} = 1 + 0.25 = 1.25\). The second comparison, \(6.05 < 6.5\), is also correct; 6.05 is indeed less than 6.5. Thirdly, \(2 \frac{4}{100} = 2.4\) checks out since \(2 \frac{4}{100} = 2 + 0.04 = 2.04\), which is false. Finally, \(4 \frac{1}{4} > 4 \frac{1}{3}\) makes sense because \(4.25 > 4.33\) is false as well! So, the incorrect equation is \(2 \frac{4}{100} = 2.4\). But it’s always good to double-check your work; you can quickly test any suspicious equation by converting fractions to decimals. Keep practicing these conversions; it's like training your brain for an equation workout!