You purchased 3 (1)/(4) acres of land and then sold 1 (1)/(2) acres of the property. How many ac

step 1 Reading the question, we can make the following statement. Land purchased. It is equal to this.

You purchased 3 (1)/(4) acres of land and then sold 1...

Key Concepts

Subtracting Fractions

Subtracting fractions involves first ensuring that they have a common denominator and then subtracting the numerators while keeping the denominator constant. This operation is a basic arithmetic skill that is essential for solving problems where one quantity is reduced by another, and it is commonly encountered in various applications, from everyday measurements to more advanced mathematical problems.

Common Denominator

A common denominator is necessary when performing arithmetic operations on fractions. It ensures that the fractions being added or subtracted refer to parts of the same whole, making the calculation straightforward. Finding a common denominator is a crucial skill in fraction arithmetic, enabling the combination of fractions even when their original denominators differ.

Mixed Numbers

Mixed numbers combine a whole number and a fraction into a single value. They are commonly used to represent quantities that are more than a whole unit but not enough to form an additional whole unit, making them very useful in everyday measurements. Understanding mixed numbers is fundamental when dealing with arithmetic operations that involve both whole units and fractional parts.

Conversion to Improper Fractions

Converting mixed numbers to improper fractions involves rewriting the number so that the numerator is greater than the denominator. This conversion simplifies arithmetic operations, such as addition or subtraction, because it allows one to work directly with fractions rather than separately handling the whole number and fractional parts.

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