The answers are:
18 to 24 = [tex]\frac{18}{24} = \frac{3}{4}[/tex]
5 to 15 = [tex]\frac{5}{15} = \frac{1}{3}[/tex]
14:42 = [tex]\frac{14}{42} = \frac{1}{3}[/tex]
15 cents to 18 cents = [tex]\frac{15}{18} = \frac{5}{6}[/tex]
Explanation:
To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are [tex]\frac{18}{24}[/tex], [tex]\frac{5}{15}[/tex], [tex]\frac{14}{42}[/tex] , and [tex]\frac{15}{18}[/tex].
The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.
[tex]\frac{18}{24}[/tex] divide this by 6, which is equivalent to [tex]\frac{3}{4}[/tex]
[tex]\frac{5}{15}[/tex] divide this by 5, which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{14}{42}[/tex] divide this by 14. which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{15}{18}[/tex] divide this by 3, which is equivalent to [tex]\frac{5}{6}[/tex]
