Respuesta :
a) 14 segments
b) 9 segements
Explanation
a)How many 1/4-inch segments are in a length of 3 1/2 inches
Step 1
convert the mixed numbers in fractions
[tex]\begin{gathered} \frac{1}{4}=\frac{1}{4} \\ 3\text{ }\frac{1}{2}=\frac{(3\cdot2)+1}{7}=\frac{7}{2} \end{gathered}[/tex]Now, to find how many 1/4 inch segments are in 7/2 of inches use a division
[tex]\begin{gathered} Number\text{ of segments=}\frac{7}{2}divided\text{ by }\frac{1}{4} \\ N=\frac{7}{2}\colon\frac{1}{4}=\frac{7\cdot4}{2\cdot1}=\frac{28}{2}=14 \end{gathered}[/tex]b) How many 1/4-inch segmentsare in a length of 2 1/4 inches?
Step 1
convert the mixed numbers in fractions
[tex]2\text{ }\frac{1}{4}=\frac{(2\cdot4)+1}{4}=\frac{9}{4}[/tex]Now, to find how many 1/4 inch segments are in 9/4 of inches use a division
[tex]\begin{gathered} \text{Number of segments}_2=\frac{9}{4}\colon\frac{1}{4} \\ N_b=\frac{9\cdot4}{4\cdot1}=\frac{36}{4}=9 \end{gathered}[/tex]i hope this helps you
