Advertisements
Advertisements
Question
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
Solution
\[\text{Let the number be x .} \]
\[ \therefore x \times \frac{- 1}{6} = \frac{- 23}{9}\]
\[x = \frac{- 23}{9} \div \frac{- 1}{6}\]
\[ x = \frac{- 23}{9} \times \frac{6}{- 1} = \frac{46}{3}\]
\[\text{Therefore, the other number is} \frac{46}{3} .\]
APPEARS IN
RELATED QUESTIONS
Write five rational numbers greater than − 2
Verify the property: x × (y + z) = x × y + x × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-2)/3, y = (-4)/6, z = (-7)/9`
