The length of the staircase is 5\(\frac{1}{2}\) m. If one step is set

1.	The length of the staircase is 5\(\frac{1}{2}\) m. If one step is set at \(\frac{1}{4}\) m. then, how many steps will be there in the staircase?
Answer» Given length of staircase = 5\(\frac{1}{2}\) m = \(\frac{11}{2}\) m Length of each step = \(\frac{1}{4}\) m Length of each step × number of steps = length of staircase \(\frac{1}{4}\) × Number of steps = \(\frac{11}{2}\) Number of steps = \(\frac{11}{2}\) ÷ \(\frac{1}{4}\) = \(\frac{11}{2}\) × \(\frac{4}{1}\) = 11 × 2 = 22 ∴ Number of steps in the staircase = 22

The length of the staircase is 5\(\frac{1}{2}\) m. If one step is set at \(\frac{1}{4}\) m. then, how many steps will be there in the staircase?

Answer»

Given length of staircase = 5\(\frac{1}{2}\) m = \(\frac{11}{2}\) m

Length of each step = \(\frac{1}{4}\) m

Length of each step × number of steps = length of staircase

\(\frac{1}{4}\) × Number of steps = \(\frac{11}{2}\)

Number of steps = \(\frac{11}{2}\) ÷ \(\frac{1}{4}\) = \(\frac{11}{2}\) × \(\frac{4}{1}\) = 11 × 2 = 22

∴ Number of steps in the staircase = 22