Question

on a hot day, roger poured 1/2 of a bucket of water into a plastic wading pool. a few minutes later he added another 2/3 of a bucket. how much water did roger pour into the pool? write your answer as a fraction or as a whole or mixed number. buckets submit

Explanation:

Step1: Identify the operation

To find the total water poured, we need to add the two fractions: $\frac{1}{2}$ and $\frac{2}{3}$.

Step2: Find a common denominator

The least common denominator of 2 and 3 is 6. Convert the fractions:
$\frac{1}{2} = \frac{1\times3}{2\times3} = \frac{3}{6}$
$\frac{2}{3} = \frac{2\times2}{3\times2} = \frac{4}{6}$

Step3: Add the fractions

Add the numerators: $\frac{3}{6} + \frac{4}{6} = \frac{3 + 4}{6} = \frac{7}{6}$

Step4: Convert to mixed number (optional)

$\frac{7}{6} = 1\frac{1}{6}$

Answer:

$1\frac{1}{6}$ (or $\frac{7}{6}$)