Questions: Roberto measures his pencil to be 2 5/8 inches long. His friend Hakim's pencil is 1 1/2 inches longer than Roberto's pencil. Write an addition equation and a related subtraction equation to model the problem. How long is Hakim's pencil?

Solution Steps

Roberto's pencil length:
\(2 \frac{5}{8} = \frac{21}{8}\) inches.

Hakim's pencil is \(1 \frac{1}{2}\) inches longer:
\(1 \frac{1}{2} = \frac{3}{2}\) inches.

The length of Hakim's pencil is the sum of Roberto's pencil length and the additional length:
\[ \frac{21}{8} + \frac{3}{2} = \text{Hakim's pencil length}. \]

The additional length can also be expressed as the difference between Hakim's pencil length and Roberto's pencil length:
\[ \text{Hakim's pencil length} - \frac{21}{8} = \frac{3}{2}. \]

Final Answer