7 4/ 9 as an improper fraction
The correct answer and explanation is:
The mixed number 7 4/9 as an improper fraction is: 679\frac{67}{9}
Explanation:
A mixed number consists of a whole number and a fraction combined, such as 7497 \frac{4}{9}. To convert a mixed number into an improper fraction, you follow these steps:
- Multiply the whole number by the denominator of the fraction. Here, the whole number is 7 and the denominator of the fraction 49\frac{4}{9} is 9. 7×9=637 \times 9 = 63
- Add the numerator of the fraction to the result from step 1. The numerator is 4. 63+4=6763 + 4 = 67
- Write the sum as the numerator of the improper fraction, with the original denominator. Since the denominator remains 9, the improper fraction is: 679\frac{67}{9}
Why do we convert mixed numbers to improper fractions?
Mixed numbers are often easier to read and understand for everyday use (like 7 whole pizzas and 4/9 of another pizza). However, improper fractions are generally more useful in calculations such as addition, subtraction, multiplication, and division because they express the entire quantity as one fraction.
For example, if you want to add 7497 \frac{4}{9} to another fraction, it’s simpler to convert 7497 \frac{4}{9} into 679\frac{67}{9} and then proceed with the calculation.
Summary
- Mixed number: 7497 \frac{4}{9}
- Multiply whole number by denominator: 7×9=637 \times 9 = 63
- Add numerator: 63+4=6763 + 4 = 67
- Improper fraction: 679\frac{67}{9}
This method can be used to convert any mixed number into an improper fraction.