Question

subtract the mixed numbers. enter your answers.
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$$\begin{align}2\\frac{1}{2} &= 2 \\frac{?}{10}\\\\ -1\\frac{1}{10} &= -1 \\frac{?}{10}\\\\ \\cline{1-2} &\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 1 \\frac{?}{10}\\end{align}$$

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Explanation:

Step1: Convert \(2\frac{1}{2}\) to tenths

To convert \(\frac{1}{2}\) to tenths, multiply numerator and denominator by 5: \(\frac{1\times5}{2\times5}=\frac{5}{10}\). So \(2\frac{1}{2} = 2\frac{5}{10}\).

Step2: Identify the fraction in \(1\frac{1}{10}\)

The fraction part of \(1\frac{1}{10}\) is already over 10, so it's \(\frac{1}{10}\), so the middle? is 1.

Step3: Subtract the fractions

Subtract the fractional parts: \(\frac{5}{10}-\frac{1}{10}=\frac{4}{10}\). The whole number parts: \(2 - 1=1\), so the last? is 4.

Answer:

First? : 5, Middle? : 1, Last? : 4 (So filling the boxes: \(2\frac{1}{2}=2\frac{\boldsymbol{5}}{10}\), \(-1\frac{1}{10}=-1\frac{\boldsymbol{1}}{10}\), result is \(1\frac{\boldsymbol{4}}{10}\))