Answer:
[tex]Fraction = \frac{3}{14}[/tex]
Step-by-step explanation:
Given:
[tex]Total\ Length = 5\frac{5}{6}[/tex]
[tex]Straight\ Section = 1\frac{1}{4}[/tex]
Required:
Fraction of the circuit that is straight section
To solve this, we simply divide the length of the straight section by the total length of the circuit;
This is done as follows;
[tex]Fraction = 1\frac{1}{4} / 5\frac{5}{6}[/tex]
Convert both fractions to improper fractions
[tex]Fraction = \frac{5}{4} / \frac{35}{6}[/tex]
Change division sign (/) to multiplication (*)
[tex]Fraction = \frac{5}{4} * \frac{6}{35}[/tex]
Combine to form a single fraction
[tex]Fraction = \frac{5*6}{4*35}[/tex]
[tex]Fraction = \frac{30}{140}[/tex]
Divide numerator and denominator by 10
[tex]Fraction = \frac{3}{14}[/tex]
Hence, the fraction of the straight section is; [tex]Fraction = \frac{3}{14}[/tex]
