Convert 3 3/8 to an improper fraction
The Correct Answer and Explanation is :
To convert the mixed number (3 \, \frac{3}{8}) into an improper fraction, we need to follow these steps:
- Multiply the whole number by the denominator:
- (3 \times 8 = 24).
- Add the result to the numerator:
- (24 + 3 = 27).
- Place the result over the original denominator:
- So, (3 \, \frac{3}{8} = \frac{27}{8}).
Thus, the improper fraction form of (3 \, \frac{3}{8}) is (\frac{27}{8}).
Explanation (300 Words)
Converting a mixed number (a whole number and a fraction combined) to an improper fraction (where the numerator is larger than the denominator) is a straightforward process that helps simplify mathematical calculations. This process is often necessary in various math contexts, such as adding or subtracting fractions, where it’s easier to work with improper fractions than mixed numbers.
In our example, (3 \, \frac{3}{8}) is a mixed number. Here, the whole number part is (3), and the fractional part is (\frac{3}{8}). To convert it, we first multiply the whole number by the fraction’s denominator. This step, (3 \times 8), tells us how many eighths are in the whole number (3). This multiplication yields (24), which represents three whole units as a fraction in terms of eighths.
Next, we add the numerator of the fraction ((3)) to the result from our previous calculation ((24)), giving us (27). This value represents the total number of eighths in (3 \, \frac{3}{8}). We then place (27) over the original denominator ((8)), resulting in (\frac{27}{8}).
Using improper fractions can make addition, subtraction, multiplication, and division easier in math. When you’re calculating, working with improper fractions means you don’t have to convert between whole numbers and fractions as often, streamlining your calculations.