Question

find the difference.
$4\frac{2}{10}-2\frac{5}{10}=\square\frac{?}{?}$

Explanation:

Step1: Subtract the whole numbers

Subtract the whole number parts: \(4 - 2 = 2\). But we have a fraction subtraction where the numerator of the first fraction is less than the second, so we need to borrow from the whole number. Rewrite \(4\frac{2}{10}\) as \(3\frac{12}{10}\) (since \(4 = 3 + 1\) and \(1=\frac{10}{10}\), so \(4\frac{2}{10}=3 + \frac{10}{10}+\frac{2}{10}=3\frac{12}{10}\)).

Step2: Subtract the fractions

Now subtract the mixed numbers: \(3\frac{12}{10}-2\frac{5}{10}\). Subtract the whole numbers: \(3 - 2 = 1\). Subtract the fractions: \(\frac{12}{10}-\frac{5}{10}=\frac{12 - 5}{10}=\frac{7}{10}\).

Step3: Combine the results

Combine the whole number and the fraction: \(1\frac{7}{10}\).

Answer:

\(1\frac{7}{10}\) (So the whole number is \(1\), the numerator of the fraction is \(7\), and the denominator is \(10\))