Question

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

Answer 1

Hint:
The meaning of hem is the folded part of the skirt. If the folded part of the skirt is let down, then the total length of the skirt will be the addition of the length of skirt and the length of the folded part. While calculating, convert the mixed fraction into normal fraction.

Complete step by step solution:
The data given in the question are,
The length of skirt is \[35\dfrac{7}{8}{\text{cm}}\]
The length of hem(folded part of the skirt) is \[3\dfrac{1}{8}{\text{cm}}\]

To find the length of skirt if the hem is let down,
The length of skirt after the hem is let down \[ = \] length of skirt \[ + \] length of hem
From the given, substitute all the values we get,
 \[ \Rightarrow 35\dfrac{7}{8} + 3\dfrac{1}{8}\]
Converting the mixed fraction into normal fraction we get,
 \[ \Rightarrow \dfrac{{280 + 7}}{8} + \dfrac{{24 + 1}}{8}\]
While solving the above we get,
 \[ \Rightarrow \dfrac{{287}}{8} + \dfrac{{25}}{8}\]
By adding the numerator of the above, we get,
 \[ \Rightarrow \dfrac{{312}}{8}\]
While cancelling the above fraction we get,
 \[ \Rightarrow 39\]
$\therefore $The length of the skirt if the hem is let down is ${\text{39cm}}$.

Hence, the length of the skirt if the hem is let down is ${\text{39cm}}$.

Note:
From the diagram above, the length of the skirt is equal to the addition of the length above the dotted part and the length below the dotted part. Instead of doing addition don’t do subtraction for the above question. If the question has different units then we have to convert according to it.