Answer:
The difference between the heights of the Birch and Spruce trees is:
[tex]\dfrac{3}{8}\ units[/tex]
Step-by-step explanation:
The height of the Birch tree is:
[tex]3\frac{1}{4}[/tex] which in improper fraction is written as:
[tex]\dfrac{13}{4}\ units[/tex]
Also, the height of Spruce tree is:
[tex]2\frac{7}{8}[/tex] which in improper fraction is written as:
[tex]\dfrac{23}{8}\ units[/tex]
The difference in the height of two tree is given by:
[tex]\dfrac{13}{4}-\dfrac{23}{8}[/tex]
on taking least common multiple we get:
[tex]=\dfrac{13\times 2-23\times 1}{8}\\\\=\dfrac{26-23}{8}\\\\\\=\dfrac{3}{8}\ units[/tex]
Hence, the difference between the height of tree is:
[tex]\dfrac{3}{8}\ units[/tex]
