Question

A skirt that is $35\dfrac{7}{8}cm$ long has a hem of $3\dfrac{1}{8}cm$ . How long will the skirt be if the hem is let down?

Answer 1

Hint: Given that the skirt has a hem. Subtracting the length of the hem from the total length of the skirt gives the required length asked in the question.


Complete step-by-step Solution:
Given that the skirt is $35\dfrac{7}{8}cm$ long and has a hem of $3\dfrac{1}{8}cm$ .
We have to find the length of the skirt after removing the hem.

Length of the skirt without hem=Length of the total skirt – length of the hem
Length of the skirt = $35\dfrac{7}{8}cm$
Length of the hem= $3\dfrac{1}{8}cm$
Length of the skirt without hem is
 $
   = \left( {35\dfrac{7}{8} - 3\dfrac{1}{8}} \right)cm \\
   = \left( {\dfrac{{\left( {35 \times 8} \right) + 7}}{8} - \dfrac{{\left( {3 \times 8} \right) + 1}}{8}} \right)cm \\
   = \left( {\dfrac{{287}}{8} - \dfrac{{25}}{8}} \right)cm \\
   = \left( {\dfrac{{287 - 25}}{8}} \right)cm \\
   = \dfrac{{262}}{8}cm \\
   = \dfrac{{131}}{4}cm \\
   = 32\dfrac{3}{4}cm \\
 $
Therefore, the length of the skirt without hem is $32\dfrac{3}{4}cm$ .

Note: A hem is related to sewing. A hem is the end part of a dress which is folded to prevent the fabric from unraveling. Hemming is a garment finishing method. The length of the skirt and hem is given in mixed fractions so be careful while converting the mixed fractions to normal fractions and normal fractions to mixed fractions. A whole number and a fraction combined make a mixed fraction. To convert mixed fraction into normal, multiply the whole number with the denominator of the fraction and add the numerator of the fraction to it and place the result in the place of the old numerator.