Question

How many pieces of $\dfrac{1}{4}$m length can Shreya cut from a tape of length $6\dfrac{1}{2}$m?

Answer 1

Hint: In this type of questions, using the formula (No. of pieces possible$=\dfrac{\text {Total length of the tape}}{\text {desired length of each piece}}$) we can get the required solution.

Complete step-by-step answer:
Given:
Desired length for each piece is $\dfrac{1}{4}$m.
Total Length of tape is $6\dfrac{1}{2}$m.
$6\dfrac{1}{2} = \dfrac{{13}}{2}$m
Therefore, number of pieces possible $ = \dfrac{\text {Total length of the tape}}{\text {desired length of each piece}}$
number of pieces possible, $
  n = {\dfrac{\dfrac{{13}}{2} }{\dfrac{1}{4}}}
  = \dfrac{{13}}{2} \times 4
  = 26
$
Therefore, the number of pieces possible of length $\dfrac{1}{4}$m is 26.

Note: Whenever such a type of question appears, use the concept of dividing a larger piece into smaller pieces by dividing the total length of the tape with the desired length of the piece, and then you can easily solve these types of questions.