Final answer:
To convert 1 2/3 - 3/4 into twelfths, you convert 2/3 to 8/12 and 3/4 to 9/12, and then subtract, resulting in 0 11/12.
Step-by-step explanation:
To rewrite the subtraction problem 1 2/3 - 3/4 using twelfths, we need to find the equivalent fractions with a denominator of twelve. To convert 2/3 to twelfths, multiply the numerator and the denominator by 4, giving us 8/12. To convert 3/4 to twelfths, multiply the numerator and the denominator by 3, which gives us 9/12. Now we can rewrite the original subtraction problem as 1 8/12 - 9/12.
Next, we subtract the fractions: 8/12 - 9/12 equals -1/12. Since we have the whole number 1 in 1 8/12, we can borrow 12/12 from it to add to the fraction part, making the new fraction 20/12. Now the problem is 20/12 - 9/12, which equals 11/12. Therefore, the full expression is 1 2/3 - 3/4 is equivalent to 0 11/12.