Final answer:
To subtract fractions with common denominators and whole numbers, convert whole numbers to improper fractions with the common denominator, subtract numerators, and simplify.
Step-by-step explanation:
Subtracting Fractions with Common Denominators and Whole Numbers
The process for subtracting fractions with common denominators involves several steps. When dealing with both fractions and whole numbers, first ensure that all terms are expressed as fractions with a common denominator. Here's how you can do it:
- Write the problem vertically with fractions and whole numbers lined up appropriately.
- Convert whole numbers to fractions by giving them the common denominator, turning them into improper fractions.
- Subtract the numerators of the fractions while keeping the common denominator the same.
- Simplify the resulting fraction by reducing it to its lowest terms if possible.
Remember, when subtracting fractions, the denominators must remain unchanged, and only the numerators are subtracted. This is crucial because the denominator represents the total number of equal parts in a whole, while the numerator represents the parts being considered. After performing the subtraction, it's always a good practice to simplify the fraction.
For example, to subtract 3/4 from 2, first express 2 as a fraction with the same denominator: 2 becomes 8/4 (since 2*4/4=8/4). Then subtract the numerators: 8/4 - 3/4 = 5/4, which is the answer as an improper fraction and can also be written as 1 1/4.