Subtracting Fractions: 1 1/3 - 6/7
This article will guide you through the steps of subtracting the fractions 1 1/3 and 6/7.
Step 1: Convert the Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/3 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and then add the numerator (1). This gives us 4. The denominator stays the same.
Therefore, 1 1/3 is equivalent to 4/3.
Step 2: Find a Common Denominator
Now, we need to find a common denominator for 4/3 and 6/7. The least common multiple of 3 and 7 is 21.
To get a denominator of 21 for 4/3, we multiply both the numerator and denominator by 7.
- (4/3) * (7/7) = 28/21
To get a denominator of 21 for 6/7, we multiply both the numerator and denominator by 3.
- (6/7) * (3/3) = 18/21
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them.
- 28/21 - 18/21 = 10/21
Step 4: Simplify the Result (If Possible)
The fraction 10/21 is already in its simplest form because the greatest common factor of 10 and 21 is 1.
Conclusion
Therefore, 1 1/3 - 6/7 = 10/21.