Question
Multiply and express as a mixed fraction.
$3 \times 5 \frac{1}{5}$
$3 \times 5 \frac{1}{5}$
✓
Answer
We have, $3 \times 5 \frac{1}{5}=3 \times\left(\frac{5 \times 5+1}{5}\right)=3 \times\left(\frac{25+1}{5}\right)$
$
=3 \times \frac{26}{5}=\frac{3 \times 26}{5}=\frac{78}{5}
$
Now, dividing 78 (numerator) by 5 (denominator), we get
quotient $=15$ and remainder $=3$
$\therefore$ Mixed fraction $=$ Quotient $\frac{\text { Remainder }}{\text { Divisor }}=15 \frac{3}{5}$
$
=3 \times \frac{26}{5}=\frac{3 \times 26}{5}=\frac{78}{5}
$
Now, dividing 78 (numerator) by 5 (denominator), we get
quotient $=15$ and remainder $=3$
$\therefore$ Mixed fraction $=$ Quotient $\frac{\text { Remainder }}{\text { Divisor }}=15 \frac{3}{5}$
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