Write each improper fraction as a mixed number. 16/9
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1
Identify the improper fraction: .
Divide the numerator (16) by the denominator (9) to find the whole number part of the mixed number.
The quotient from the division is the whole number part of the mixed number.
The remainder from the division becomes the numerator of the fractional part of the mixed number.
The denominator of the fractional part remains the same as the original fraction, which is 9.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Improper Fractions
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. This means that the value of the fraction is equal to or greater than one. For example, in the fraction 16/9, 16 is greater than 9, making it improper. Understanding this concept is essential for converting improper fractions into mixed numbers.
A mixed number combines a whole number and a proper fraction. For instance, the mixed number 1 7/9 consists of the whole number 1 and the proper fraction 7/9. Converting an improper fraction to a mixed number involves dividing the numerator by the denominator to find the whole number part and using the remainder as the new numerator for the proper fraction.
When converting an improper fraction to a mixed number, division is used to determine how many whole parts fit into the fraction. The remainder from this division becomes the numerator of the proper fraction in the mixed number, while the denominator remains the same. For example, dividing 16 by 9 gives a quotient of 1 and a remainder of 7, leading to the mixed number 1 7/9.