Question

a motor racing has a length of 5 5/6 a straight section of a circuit has a length 1 1/4 miles what fraction of the circuit is the straight section ? give your answer in the simplest form

Answer 1

Answer:

$Fraction = \frac{3}{14}$

Step-by-step explanation:

Given:

$Total\ Length = 5\frac{5}{6}$

$Straight\ Section = 1\frac{1}{4}$

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;

$Fraction = 1\frac{1}{4} / 5\frac{5}{6}$

Convert both fractions to improper fractions

$Fraction = \frac{5}{4} / \frac{35}{6}$

Change division sign (/) to multiplication (*)

$Fraction = \frac{5}{4} * \frac{6}{35}$

Combine to form a single fraction

$Fraction = \frac{5*6}{4*35}$

$Fraction = \frac{30}{140}$

Divide numerator and denominator by 10

$Fraction = \frac{3}{14}$

Hence, the fraction of the straight section is; $Fraction = \frac{3}{14}$