To convert the phrase 'two pizzas and a half of pizza' into an improper fraction, we'll follow these steps:
- Identify the Whole Number and the Fraction: In this case, we have 'two pizzas' which represent the whole number 2, and 'a half of pizza' which represents the fraction 1/2.
- Turn the Whole Number into a Fraction: To work with fractions, we'll turn the whole number into a fraction. Since we have 2 whole pizzas, we can write that as 2/1. In order to convert it into a fraction with the same denominator as the half pizza, we want to express 2 pizzas in terms of halves.
- Find a Common Denominator: The denominator of the half pizza is 2. To express 2 pizzas in halves, we multiply the numerator and denominator of 2/1 by 2:
2 × 2/1 × 2 = 4/2. - Add the Fraction: Now, we can add the two fractions together. We have 4/2 (for the two pizzas) and 1/2 (for the half pizza):
4/2 + 1/2 = 4 + 1/2 = 5/2. - Final Result: Therefore, two pizzas and a half of pizza as an improper fraction is 5/2.
And that's how you convert two pizzas and a half of pizza into an improper fraction!