Question

Multiply:

vi) $2\frac{1}{14}$ and $-7$

Answer 1

Step 1: Converting the mixed fraction into
an improper fraction
Given: $2\frac{1}{14}=\frac{2\times 14+1}{14}=\frac{29}{14}$

Step 2: Finding the product of given
numbers
Given, $2\frac{1}{14}\times (-7)$
$=\frac{29}{14}\times (-7)=\frac{29}{14}\times \frac{-7}{1}$
$\because$ Product of two rational numbers
$=\frac{\text{Product of the numerators}}{\text{Product of the denominators}}$
$=-\frac{29\times 7}{14}=-\frac{29\times 7}{7\times 2}=-\frac{29}{2}$

Hence, the required product is $-\frac{29}{2}$.