Converting Mixed Numbers to Improper Fractions: 1 3/5
A mixed number is a number that combines a whole number and a fraction. For example, 1 3/5 represents one whole unit and three-fifths of another unit.
To convert a mixed number to an improper fraction, where the numerator is greater than or equal to the denominator, follow these steps:
- Multiply the whole number by the denominator of the fraction. In our example, 1 x 5 = 5.
- Add the numerator of the fraction to the product from step 1. 5 + 3 = 8.
- Keep the same denominator.
Therefore, 1 3/5 is equivalent to 8/5 as an improper fraction.
Visual Representation
Imagine a pizza cut into five slices. 1 3/5 represents one whole pizza plus three slices of another pizza. This is the same as having 8 slices out of a total of five slices per pizza.
Why Convert to an Improper Fraction?
Converting to an improper fraction is helpful in many situations, including:
- Performing calculations: Adding, subtracting, multiplying, and dividing fractions is easier when they are improper.
- Simplifying expressions: Some operations require fractions to be in improper form.
By understanding how to convert mixed numbers to improper fractions, you gain a crucial skill in working with fractions more efficiently.