Subtracting Mixed Numbers and Fractions
This article will guide you through the process of subtracting the fraction 6/7 from the mixed number 1 1/3.
Understanding Mixed Numbers
A mixed number is a combination of a whole number and a fraction. In our case, 1 1/3 represents one whole and one-third.
Converting Mixed Numbers to Fractions
Before we can subtract, we need to convert the mixed number into a fraction.
- Multiply the whole number by the denominator of the fraction: 1 x 3 = 3
- Add the numerator of the fraction: 3 + 1 = 4
- Keep the original denominator: 4/3
Now we have the equivalent fraction 4/3 for the mixed number 1 1/3.
Finding a Common Denominator
To subtract fractions, they must have the same denominator. The least common denominator (LCD) of 3 and 7 is 21.
- Multiply the numerator and denominator of 4/3 by 7: (4 x 7) / (3 x 7) = 28/21
- Multiply the numerator and denominator of 6/7 by 3: (6 x 3) / (7 x 3) = 18/21
Performing the Subtraction
Now that we have fractions with the same denominator, we can subtract:
28/21 - 18/21 = 10/21
Simplifying the Result
The fraction 10/21 is already in its simplest form, as there are no common factors for the numerator and denominator.
Conclusion
Therefore, 1 1/3 - 6/7 is equal to 10/21.