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Question

Question
Lance buys 2 pizzas for dinner. There was 36
of the veggie pizza left and 46
of the cheese pizza left.

This image shows two 6-piece pizzas titled "Veggie" and "Cheese." Three pieces of the Veggie pizza are shaded, and four pieces of the Cheese pizza are shaded.

Select all of the comparisons that are true.

(1 point)
Responses

36<46

3 6 < 4 6

46<36

4 6 < 3 6

46=36

4 6 = 3 6

36>46

3 6 > 4 6

46>36

4 6 > 3 6
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Answer 1

To determine which comparisons are true based on the information provided, let's analyze the fractions and numbers given:

1. Whole Numbers:

   • 36 is less than 46, so 36 < 46 is true.
   • Thus, 46 > 36 is also true.

2. Fractions:

   • For the veggie pizza, 3 out of 6 pieces are eaten, which means \(\frac{3}{6}\) are left.
   • For the cheese pizza, 4 out of 6 pieces are eaten, which means \(\frac{4}{6}\) are left.

Now we evaluate the comparisons involving the fractions:

• \(\frac{3}{6} < \frac{4}{6}\) is true, indicating that more cheese pizza pieces are left than veggie pizza pieces.
• Therefore, \(\frac{4}{6} > \frac{3}{6}\) is also true.

Given this analysis, the true statements from the options provided are:

• 36 < 46
• 46 > 36
• \(\frac{3}{6} < \frac{4}{6}\)
• \(\frac{4}{6} > \frac{3}{6}\)

The other statements (like \(46 < 36\), \(\frac{4}{6} < \frac{3}{6}\), \(46 = 36\), and \(\frac{4}{6} = \frac{3}{6}\)) are false based on the comparisons established.