What is 2 1/5 as an improper fraction
The correct answer and explanation is:
The mixed number 2 1/5 as an improper fraction is: 115\frac{11}{5}
Explanation:
A mixed number consists of a whole number and a proper fraction combined, like 2152 \frac{1}{5}.
To convert a mixed number to an improper fraction (where the numerator is larger than the denominator), follow these steps:
- Multiply the whole number by the denominator of the fraction. Here, the whole number is 2, and the denominator is 5. 2×5=102 \times 5 = 10
- Add the numerator of the fraction to the result from step 1. The numerator is 1, so: 10+1=1110 + 1 = 11
- Write the sum over the original denominator to get the improper fraction: 115\frac{11}{5}
So, the mixed number 2152 \frac{1}{5} is equivalent to the improper fraction 115\frac{11}{5}.
Why convert to improper fractions?
Improper fractions are often easier to use in mathematical operations such as addition, subtraction, multiplication, and division. Mixed numbers are intuitive for everyday use, but for calculations, improper fractions simplify the process because they represent the entire value as one fraction.
Additional example:
If you had 3273 \frac{2}{7}:
- Multiply whole number by denominator: 3×7=213 \times 7 = 21
- Add numerator: 21+2=2321 + 2 = 23
- Write over denominator: 237\frac{23}{7}
Summary:
- Multiply whole number by denominator.
- Add numerator.
- Place sum over denominator.
- Result is the improper fraction.
This conversion helps in performing arithmetic operations and understanding fractions more clearly.