a piece of bamboo is 4\\frac{1}{2} m long. jerome cuts 1\\frac{1}{4} m to be used for making some lanterns…

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$, $1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}$, $1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Find the total length of the cut - off pieces

The total length of the cut - off pieces is $\frac{5}{4}+\frac{3}{2}$. First, make a common denominator. Since the common denominator of 4 and 2 is 4, $\frac{3}{2}=\frac{3\times2}{2\times2}=\frac{6}{4}$. Then $\frac{5}{4}+\frac{6}{4}=\frac{5 + 6}{4}=\frac{11}{4}$

Step3: Find the remaining length

The original length is $\frac{9}{2}$. Make a common denominator with $\frac{11}{4}$. $\frac{9}{2}=\frac{9\times2}{2\times2}=\frac{18}{4}$. The remaining length is $\frac{18}{4}-\frac{11}{4}=\frac{18 - 11}{4}=\frac{7}{4}=1\frac{3}{4}$

Answer:

$1\frac{3}{4}$ m