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How to convert improper fractions to mixed numbers ?
Improper fraction
Mixed fraction
A mixed number is a combination of a whole number and a fraction.
Convert Improper Fractions to Mixed Numbers
Improper fractions can be written as mixed numbers.
To write an improper fraction as a mixed number,
- Divide the numerator (top part) by the denominator (bottom part).
- The quotient is the whole number, and the remainder is the numerator.
Let's go through some examples to understand the concept better.
Example 1
Solution
Divide the numerator by the denominator:
17 ÷ 4 = 4, with a remainder of 1
The quotient, 4, is the whole number.
The remainder, 1, is the numerator. The denominator remains 4.
Example 2
Solution
Divide the numerator by the denominator:
14 ÷ 9 = 1, with a remainder of 5
The quotient, 1, is the whole number.
The remainder, 5, is the numerator. The denominator remains 9.
Example 3
Solution
Divide the numerator by the denominator:
20 ÷ 5 = 4
The quotient, 4, is the whole number. There is no remainder.
If there is no remainder, just take the quotient as the whole number.
How to convert improper fractions to mixed numbers ?
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A fraction in which the numerator is larger than or equal to the denominator, like52,173, or66is called an improper fraction.
- A mixed number is a combination of a whole number and a fraction.
- To write an improper fraction as a mixed number,
- Divide the numerator (top part) by the denominator (bottom part).
- The quotient is the whole number, and the remainder is the numerator.