What’s 4 1/3 as a improper fraction
The Correct Answer and Explanation is :
To convert the mixed number ( 4 \frac{1}{3} ) to an improper fraction, follow these steps:
Step 1: Multiply the whole number by the denominator.
The whole number is 4, and the denominator of the fraction is 3. So, multiply:
[ 4 \times 3 = 12 ]
Step 2: Add the numerator to the product.
Now, add the numerator (which is 1) to the result from Step 1:
[ 12 + 1 = 13 ]
Step 3: Place the sum over the original denominator.
The denominator remains the same, which is 3. So, the improper fraction is:
[ \frac{13}{3} ]
Explanation:
A mixed number is a combination of a whole number and a proper fraction. To convert it to an improper fraction, you need to express the whole number as a fraction that shares the same denominator as the fractional part.
In the case of ( 4 \frac{1}{3} ), the whole number 4 can be represented as ( \frac{12}{3} ), because ( 4 \times 3 = 12 ). By adding the numerator of the fraction ( \frac{1}{3} ), you essentially increase the total number of thirds, giving ( \frac{13}{3} ).
Improper fractions are called “improper” because the numerator is greater than the denominator, which contrasts with proper fractions, where the numerator is smaller than the denominator. Improper fractions are useful in certain mathematical operations, such as when adding, subtracting, or multiplying mixed numbers, because they make the process more straightforward.
Thus, ( 4 \frac{1}{3} ) converted to an improper fraction is ( \frac{13}{3} ).