Questions: Carlos ran 5/6 mile on Monday. On Tuesday, he ran 1/3 miles less than he did on Monday. How many miles did he run on Tuesday?

Solution Steps

To find out how many miles Carlos ran on Tuesday, we need to subtract the distance he ran less on Tuesday from the distance he ran on Monday. This involves subtracting the fraction \(\frac{1}{3}\) from \(\frac{5}{6}\).

Carlos ran \(\frac{5}{6}\) mile on Monday.

On Tuesday, he ran \(\frac{1}{3}\) miles less than he did on Monday. We calculate the distance he ran on Tuesday as follows: \[ \text{Tuesday miles} = \text{Monday miles} - \text{less miles} = \frac{5}{6} - \frac{1}{3} \]

To perform the subtraction, we need a common denominator. The least common multiple of 6 and 3 is 6. We convert \(\frac{1}{3}\) to \(\frac{2}{6}\): \[ \frac{1}{3} = \frac{2}{6} \] Now we can subtract: \[ \text{Tuesday miles} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2} \]

Final Answer