Answer:
To simplify the expression \(1.5 \left(\frac{5}{6} - \frac{2}{3}\right)\), follow these steps:
1. Find a common denominator, which in this case is 6.
2. Rewrite \(\frac{5}{6}\) and \(\frac{2}{3}\) with the common denominator:
\(\frac{5}{6} = \frac{5}{6} \times \frac{1}{1} = \frac{5}{6}\)
\(\frac{2}{3} = \frac{2}{3} \times \frac{2}{2} = \frac{4}{6}\)
3. Substitute the rewritten fractions back into the expression:
\(1.5 \left(\frac{5}{6} - \frac{4}{6}\right)\)
4. Perform the subtraction inside the parentheses:
\(1.5 \left(\frac{1}{6}\right)\)
5. Multiply the constant and the fraction:
\(1.5 \times \frac{1}{6} = \frac{3}{2} \times \frac{1}{6} = \frac{3}{12} = \frac{1}{4}\)
So, \(1.5 \left(\frac{5}{6} - \frac{2}{3}\right) = \frac{1}{4}\) when expressed in simplest form.
Explanation: