example
Write each ratio as a fraction:
 [latex]15\text{ to }27[/latex]
 [latex]45\text{ to }18[/latex]
Solution
1. 


[latex]\text{15 to 27}[/latex] 
Write as a fraction with the first number in the numerator and the second in the denominator. 
[latex]{\Large\frac{15}{27}}[/latex] 
Simplify the fraction. 
[latex]{\Large\frac{5}{9}}[/latex] 
2. 


[latex]\text{45 to 18}[/latex] 
Write as a fraction with the first number in the numerator and the second in the denominator. 
[latex]{\Large\frac{45}{18}}[/latex] 
Simplify. 
[latex]{\Large\frac{5}{2}}[/latex] 
We leave the ratio in (2) as an improper fraction.
example
Write each ratio as a fraction of whole numbers:
1. [latex]4.8\text{ to }11.2[/latex]
2. [latex]2.7\text{ to }0.54[/latex]
Answer:
Solution
1. [latex]\text{4.8 to 11.2}[/latex] 

Write as a fraction. 
[latex]{\Large\frac{4.8}{11.2}}[/latex] 
Rewrite as an equivalent fraction without decimals, by moving both decimal points [latex]1[/latex] place to the right. 
[latex]{\Large\frac{48}{112}}[/latex] 
Simplify. 
[latex]{\Large\frac{3}{7}}[/latex] 
So [latex]4.8\text{ to }11.2[/latex] is equivalent to [latex]{\Large\frac{3}{7}}[/latex].
2.
The numerator has one decimal place and the denominator has [latex]2[/latex]. To clear both decimals we need to move the decimal [latex]2[/latex] places to the right.
[latex]2.7\text{ to }0.54[/latex] 

Write as a fraction. 
[latex]{\Large\frac{2.7}{0.54}}[/latex] 
Move both decimals right two places. 
[latex]{\Large\frac{270}{54}}[/latex] 
Simplify. 
[latex]{\Large\frac{5}{1}}[/latex] 
So [latex]2.7\text{ to }0.54[/latex] is equivalent to [latex]{\Large\frac{5}{1}}[/latex]
example
Write the ratio of [latex]1\Large\frac{1}{4}\normalsize\text{ to }2\Large\frac{3}{8}[/latex] as a fraction.
Answer:
Solution

[latex]1{\Large\frac{1}{4}}\text{ to }2{\Large\frac{3}{8}}[/latex] 
Write as a fraction. 
[latex]{\Large\frac{1\LARGE\frac{1}{4}}{\normalsize 2\LARGE\frac{3}{8}}}[/latex] 
Convert the numerator and denominator to improper fractions. 
[latex]{\Large\frac{\LARGE\frac{5}{4}}{\LARGE\frac{19}{8}}}[/latex] 
Rewrite as a division of fractions. 
[latex]{\Large\frac{5}{4}}\div {\Large\frac{19}{8}}[/latex] 
Invert the divisor and multiply. 
[latex]{\Large\frac{5}{4}}\cdot {\Large\frac{8}{19}}[/latex] 
Simplify. 
[latex]{\Large\frac{10}{19}}[/latex] 