2022-11-29

Express $3\frac{2}{5}$ as a decimal.

BergweiseiEK

Expert

If the denominator is 10 or 100 or 1000, respectively, we must first transform the fraction into an equivalent fraction with those denominators before writing the numerator and placing the decimal point after one place, two places, or three places from right to left.
Add zeros to the left of the numerator if there aren't enough digits in the numerator.
$\therefore 3\frac{2}{5}=\frac{5×3+2}{5}=\frac{17}{5}$ [Because Mixed fraction =Whole $\frac{Numerator}{Denominator}=\frac{\text{Whole number}×Denominator+Numerator}{Denominator}$]
Now, $\frac{17×2}{5×2}=\frac{34}{10}=3.4$
$\therefore 3\frac{2}{5}=3.4$

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