Question

What is the quotient of \[ - 7\] divided by \[\dfrac{{14}}{3}\]?\[\]

Answer 1

Hint: We need to find out the quotient from the given numbers.
To find the quotient we first need to do what is the dividend and what is the divisor then we will divide the dividend by the divisor and the result is the quotient.

Complete step-by-step solution:
We need to divide \[ - 7\] by \[\dfrac{{14}}{3}\] and find out the quotient.
Hence, we need to find \[ - 7 \div \dfrac{{14}}{3}\].
If we convert any division sign into multiplication we just need to multiply with the reciprocal of the divisor, that is we need to exchange the numerator and denominator.
Solving we get,
\[ - 7 \times \dfrac{3}{{14}} = \dfrac{{ - 21}}{{14}}\]
Now we need to do a division operation. So the fraction \[\dfrac{{ - 21}}{{14}}\]means \[ - 21 \div 14\]
Then we get,
     \[ - 1\]
\[14\left){\vphantom{1{ - 21}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{ - 21}}}\]
        \[ \underline {14}\]
         \[7\]
Here we see that after carrying division we return with a quotient \[ -1\] and remainder \[7\].
Thus, the quotient of \[ - 7\] divided by \[\dfrac{{14}}{3}\] is \[ - 1\].

Note: Division is one of the four basic operations of arithmetic.
What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.
Proper fraction:
A fraction is where the numerator (the top number) is less than the denominator (the bottom number). For example, \[\dfrac{1}{4},\dfrac{3}{5}\] etc.
Improper fraction:
A fraction is where the numerator (the top number) is greater than the denominator (the bottom number).
For example, \[\dfrac{7}{5},\dfrac{3}{2}\] etc.
Mixed fraction:
A whole number and a proper fraction is combined into one “Mixed fraction”.
For example, \[5\dfrac{1}{2},7\dfrac{1}{5}\] etc.