Questions: Write the expression with a -1 2/3 + 5/6 = -1 square/6 + 5/6

Solution Steps

To solve the given expression, we need to convert the mixed number \(-1 \frac{2}{3}\) into an improper fraction with a common denominator of 6. Then, we can perform the addition with \(\frac{5}{6}\).

First, we convert the mixed number \(-1 \frac{2}{3}\) to an improper fraction.

\[ -1 \frac{2}{3} = -1 + \frac{2}{3} = -\frac{3}{3} + \frac{2}{3} = -\frac{1}{3} \]

Next, we need to express \(-\frac{1}{3}\) with a denominator of 6.

\[ -\frac{1}{3} = -\frac{1 \times 2}{3 \times 2} = -\frac{2}{6} \]

Now, we add \(-\frac{2}{6}\) and \(\frac{5}{6}\):

\[ -\frac{2}{6} + \frac{5}{6} = \frac{5 - 2}{6} = \frac{3}{6} = \frac{1}{2} \]

The numerator of the resulting fraction \(\frac{1}{2}\) is 1.

Final Answer