Sure! Here's a clear step-by-step guide on how to subtract a whole number and a fraction :
How to Subtract a Whole Number and a Fraction
Step 1: Understand the problem
You want to subtract a fraction from a whole number, for example: Whole
number − Fraction
Example: 5 − 2/3
Step 2: Convert the whole number to a fraction
Convert the whole number into a fraction by giving it a denominator of 1: 5 = 5/1
Step 3: Find a common denominator
To subtract fractions, their denominators must be the same. Find the least common denominator (LCD) of the two fractions. For 5/1 and 2/3, the denominators are 1 and 3. The LCD is 3.
Step 4: Convert both fractions to have the LCD
Convert 5/1 to a fraction with denominator 3: 5/1 = (5 × 3) / (1 × 3) = 15/3 The fraction 2/3 already has denominator 3.
Step 5: Subtract the numerators
Now subtract the numerators: 15/3 − 2/3 = (15 − 2) / 3 = 13/3
Step 6: Simplify the fraction (if needed)
13/3 is an improper fraction. You can convert it to a mixed number: 13 ÷ 3 = 4 remainder 1 So, 13/3 = 4 1/3
Summary Example:
Subtract 5 − 2/3
- Convert 5 to fraction: 5/1
- Find LCD: 3
- Convert 5/1 to 15/3
- Subtract: 15/3 − 2/3 = 13/3
- Convert to mixed number: 4 1/3
If you want, I can also help with subtracting a fraction from a whole number when the fraction is larger than the whole number or with negative results. Just ask!
