To subtract the given numbers, we can follow these steps:

You have:
\[
-1 \frac{5}{6} - 1 \frac{1}{2}
\]

1. First, convert the mixed numbers to improper fractions:
\[
-1 \frac{5}{6} = -\left(\frac{6 \times 1 + 5}{6}\right) = -\frac{11}{6}
\]
\[
1 \frac{1}{2} = \left(\frac{2 \times 1 + 1}{2}\right) = \frac{3}{2}
\]

2. Now, find a common denominator for the fractions. The least common denominator (LCD) of 6 and 2 is 6.

Convert both fractions:
\[
\frac{3}{2} = \frac{9}{6}
\]

So now, the subtraction becomes:
\[
-\frac{11}{6} - \frac{9}{6} = \frac{-11 - 9}{6} = \frac{-20}{6}
\]

3. Simplify the fraction:
\[
\frac{-20}{6} = \frac{-10}{3}
\]

Thus, the result is:
\[
-\frac{10}{3}
\]

Would you like further details or have any questions?

Here are 5 related questions to extend your understanding:
1. How do you add or subtract mixed numbers without converting to improper fractions?
2. What are the steps to find a common denominator?
3. How can you simplify improper fractions?
4. How do you convert an improper fraction back into a mixed number?
5. What is the result of adding \(\frac{10}{3}\) and \(\frac{1}{2}\)?

**Tip:** Always simplify fractions at the end to get the most reduced form.

Learn how to subtract the mixed numbers −1 5/6 and 1 1/2 by converting them to improper fractions, finding a common denominator, and simplifying the result. This problem covers important fraction concepts for students in Grades 6-8.

Math Problem Statement

–1 5 − 1 2

Solution

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