Question

Without doing any calculation compare expression 8 to a special B A 5/6 * 250 B (1/3 x 250) + (1/2 * 250) choose the words to complete the comparison especially an A is A less than B greater than C equal to expression B

Answer 1

To compare the expressions without doing any calculations, let's break down the expressions.

1. **Expression A**: \( \frac{5}{6} \times 250 \)
2. **Expression B**: \( \left(\frac{1}{3} \times 250\right) + \left(\frac{1}{2} \times 250\right) \)

Now, let's analyze:

- **Expression A** is \( \frac{5}{6} \) of 250.
- **Expression B** adds \( \frac{1}{3} \) of 250 and \( \frac{1}{2} \) of 250 together.

To better understand the relationship without calculating actual values:

- We can express both parts of **Expression B** with a common denominator which may help in visualizing the comparison:

\[
\frac{1}{3} = \frac{2}{6}, \quad \text{and} \quad \frac{1}{2} = \frac{3}{6}
\]

Thus, **Expression B** can be rewritten as:

\[
\left(\frac{2}{6} \times 250\right) + \left(\frac{3}{6} \times 250\right) = \left(\frac{5}{6} \times 250\right)
\]

From this, we can see that:

- Expression A \( = \frac{5}{6} \times 250 \)
- Expression B \( = \frac{5}{6} \times 250 \)

Therefore, we conclude that **Expression A is equal to Expression B**.

The completed comparison statement would be:

**Expression A is equal to Expression B.**