Final answer:
To subtract 2/3 from 5/6, determine the lowest common denominator (LCD), which is 6. Rewrite 2/3 as 4/6 to have the same denominator, then subtract the numerators to get the final answer of 1/6.
Step-by-step explanation:
Finding the Lowest Common Denominator
To subtract the fractions 2/3 from 5/6, we need to find the lowest common denominator (LCD). Intuition and knowledge about the multiplication of whole numbers can help us find the LCD. In this case, for the denominators 3 and 6, the lowest common denominator is 6 because 6 is the smallest number that both 3 and 6 can divide into without leaving a remainder.
Rewriting the Difference with the Common Denominator
Since 5/6 already has the denominator of 6, we don't need to change this fraction. However, to express 2/3 with a denominator of 6, we multiply the numerator and denominator by 2, which gives us 4/6. Now, we can rewrite the subtraction as:
5/6 - 2/3 = 5/6 - 4/6
When subtracting, we subtract the numerators and leave the denominators the same, leading to the final answer:
5/6 - 4/6 = 1/6