Hilda's age is 13 7/12 years
Here, we want to calculate Jane's age, given Hilda's age and the difference between their ages.
From the question, we are told that Jane is 2 1/4 years younger than Hilda. What this means is that if we subtract 2 1/4 from Hilda's age, we will get Jane's age.
Mathematically, we proceed as follows to get Jane's age;
[tex]\begin{gathered} 15\frac{5}{6}\text{ - 2}\frac{1}{4} \\ \\ We\text{ can turn the mixed fractions to improper fractions;} \\ \\ 15\frac{5}{6}\text{ = }\frac{95}{6} \\ \\ 2\frac{1}{4}\text{ = }\frac{9}{4} \\ \\ 15\frac{5}{6}\text{ - 2}\frac{1}{4}\text{ = }\frac{95}{6}\text{ - }\frac{9}{4} \\ \\ =\text{ }\frac{190\text{ - 27}}{12}\text{ = }\frac{163}{12} \\ \\ \frac{163}{12}\text{ = 13}\frac{7}{12} \end{gathered}[/tex]
