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Converting Mixed Numbers: 16³⁄₄ is Equal to
Understanding Mixed Numbers
In mathematics, a mixed number is a combination of a whole number and a fraction. Mixed numbers are used to represent quantities that are not whole, but not entirely fractional either. One example of a mixed number is 16³⁄₄.
What is 16³⁄₄ Equal to?
To find out what 16³⁄₄ is equal to, we need to convert the mixed number into an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator.
Converting to an Improper Fraction
To convert 16³⁄₄ to an improper fraction, we can follow these steps:
- Multiply the whole number part (16) by the denominator (4): 16 × 4 = 64
- Add the numerator (3) to the product: 64 + 3 = 67
- Write the result as an improper fraction: ⁶⁷⁄₄
Simplifying the Fraction
Now that we have converted 16³⁄₄ to an improper fraction, we can simplify it further. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
- The GCD of 67 and 4 is 1, so we cannot simplify the fraction further.
- Therefore, 16³⁄₄ is equal to ⁶⁷⁄₄.
In conclusion, 16³⁄₄ is equal to the improper fraction ⁶⁷⁄₄. This conversion helps us to better understand and work with mixed numbers in mathematical operations.
