The difference in length between a monarch butterfly and a bumblebee greater than the difference in length between a walking stick and grasshopper.
Solution:
Length of Monarch butterfly = [tex]3\frac{1}{2}[/tex] in
Length of Bumble bee = [tex]\frac{5}{8}[/tex] in
Difference between their lengths
[tex]=3\frac{1}{2}-\frac{5}{8}[/tex]
To convert mixed fraction into improper fraction.
[tex]=\frac{7}{2}-\frac{5}{8}[/tex]
To make the denominator same, multiply and divide the first term by 4.
[tex]=\frac{28}{8}-\frac{5}{8}[/tex]
[tex]=\frac{23}{8}[/tex]
Difference between length of Monarchy and Bumble bee is [tex]\frac{23}{8}[/tex] in.
Length of Walking stick = 4 in
Length of Grasshopper = [tex]1\frac{3}{4}[/tex] in
Difference between their lengths
[tex]=4-1\frac{3}{4}[/tex]
To convert mixed fraction into improper fraction.
[tex]=\frac{4}{1}-\frac{7}{4}[/tex]
To make the denominator same, multiply and divide the first term by 4.
[tex]=\frac{16}{4}-\frac{7}{4}[/tex]
[tex]=\frac{9}{4}[/tex]
Difference between length of Walking stick and Grasshopper is [tex]\frac{9}{4}[/tex] in.
Compare: [tex]\frac{23}{8}[/tex] and [tex]\frac{9}{4}[/tex]
To compare the fractions, make the denominator same.
So multiply and divide [tex]\frac{9}{4}[/tex] by 2, we get
[tex]\frac{23}{8}[/tex] and [tex]\frac{18}{8}[/tex]
[tex]$\frac{23}{8}>\frac{18}{8}[/tex]
Hence the difference in length between a monarch butterfly and a bumblebee greater than the difference in length between a walking stick and grasshopper.
