## 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**.