Question

subtract...
$3 - 3\frac{4}{5} = \square$
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Explanation:

Step1: Convert mixed number to improper fraction

The mixed number \( 3\frac{4}{5} \) can be converted to an improper fraction. To do this, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So for \( 3\frac{4}{5} \), we have \( a = 3 \), \( b = 4 \), \( c = 5 \). Then \( 3\frac{4}{5}=\frac{3\times5 + 4}{5}=\frac{15 + 4}{5}=\frac{19}{5} \). And the whole number 3 can be written as \( \frac{15}{5} \) (since \( 3=\frac{3\times5}{5}=\frac{15}{5} \)).

Step2: Subtract the fractions

Now we subtract \( \frac{15}{5}-\frac{19}{5} \). When subtracting fractions with the same denominator, we subtract the numerators: \( \frac{15 - 19}{5}=\frac{- 4}{5} \).

Answer:

\( -\frac{4}{5} \)