There’s a few ways you can write this: Latisha’s older brother = 625/24 years old, ≈ 26.04 years old, or 26 1/24 years old.
The fraction form may be best considering Latisha’s age is written as a fraction. He is approximately 26 years and half of a month old.
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There are 12 months in one year, so Latisha is 10 years and 5 months old. We can set up an equation to find her brother’s age. We will use the variable x to represent her brother’s age. He is 2 1/2 times older, so multiply her age by this to solve for the unknown age.
10 5/12 is easier to work with as an improper fraction. 120/12 = 10, so 5/12 + 120/12 = 125/12. Then, 2 can be written as 4/2. 4/2 + 1/2 = 5/2.
x = (125/12)(5/2)
Multiply the numerators and the denominators straight across and
x = 625/24;
x ≈ 26.04 years old;
also written x = 26 1/24 years old.
Latisha’s brother is 26 years old, just shy of 26 years and a month. Half a month can be written as 1/24 as 1/24 is half of 1/12 (fraction representing one month).
So Latisha’s brother is 26 years old, just shy of 26 years and a month. So he is 26 years and half a month old.