Respuesta :
Given:
a.) Shelagh describes her age as 17 1/2 years old
b.) Luna is 9 1/12 years old
Let's determine the difference in their age
.
Step 1: Let's convert them into improper fractions.
[tex]\text{ 17 }\frac{1}{2}\text{ = }\frac{\text{ (17 x 2) + 1}}{2}\text{ = }\frac{34\text{ + 1}}{2}\text{ = }\frac{35}{2}[/tex][tex]\text{ 9 }\frac{1}{12}\text{ = }\frac{(9\text{ x 12) + 1}}{12}=\frac{108\text{ + 1}}{12}\text{ = }\frac{109}{12}[/tex]Step 2: Let's make them into similar fractions. (Fractions with the same denominator.)
The LCM of 2 and 12 is 12. Let's transform the two fractions into one with a denominator of 12.
[tex]\text{ }\frac{35}{2}\text{ = }\frac{35\text{ x 6}}{2\text{ x 6}}\text{ = }\frac{210}{12}[/tex]Step 3: Proceed to subtract the two numbers.
[tex]\text{ 17 }\frac{1}{2}\text{ - 9 }\frac{1}{12}\text{ = }\frac{210}{12}\text{ - }\frac{109}{12}[/tex][tex]=\frac{\text{ 210 - 109 }}{12}[/tex][tex]\text{ = }\frac{101}{12}[/tex][tex]\text{ = 8 }\frac{\text{ 5}}{12}[/tex]Therefore, the difference in their age is 8 5/12 years.
