Question

A ribbon which is $ 4\dfrac{1}{3} $ m long is cut into two pieces. The length of one piece is $ 2\dfrac{2}{3} $ m. What is the length of the other piece?

Answer 1

Hint: First convert the given mixed fractions in the form of simple fractions. Here we are given the total length of ribbon and the length of one piece of ribbon so do subtraction to find out the other length of the other piece.

Complete step-by-step answer:
Mixed number is the combination of a whole number and the fraction. Fraction is the number expressed in the form of the numerator and the denominator.
Convert the given mixed fraction in the form of fraction.
 A ribbon measure is
  $ 4\dfrac{1}{3} = \dfrac{{13}}{3} $ m .... (A)
Similarly,
The length of one piece is
 $ 2\dfrac{2}{3} = \dfrac{8}{3} $ m .... (B)
Now, the length of the other piece of ribbon can be found by subtracting the length of one piece from the total length of the ribbon.
Therefore, the length of other piece is $ = \dfrac{{13}}{3} - \dfrac{8}{3} $
When the denominators are the same between the two fractions we can directly simplify the numerator.
The length of other piece is $ = \dfrac{{13 - 8}}{3} $
The length of other piece is $ = \dfrac{5}{3} $ m
Since, the numerator is bigger than the denominator; we can again convert the above fraction in the form of mixed fraction.
  $ \dfrac{5}{3} = 1\dfrac{2}{3} $
Therefore, the length of the other piece is $ 1\dfrac{2}{3} $ m.
So, the correct answer is “ $ 1\dfrac{2}{3} $ m”.

Note: Do not forget to write the appropriate units to the final solution. Be good in division and multiples to convert the fraction into mixed fraction and vice-versa. Be careful while its conversion since, solution totally depends on it only.