how can you find 11 over 12 - 2 over 3 write the difference in simplest form.
Is this what you mean?
(11/12) - (2/3)
(11/12) - (8/12) = 3/12 = 1/4
To find the difference between 11/12 and 2/3 and express it in simplest form, you need to follow these steps:
Step 1: Find a common denominator for the fractions 11/12 and 2/3. The least common multiple (LCM) of 12 and 3 is 12.
Step 2: Convert the fractions so that they both have a denominator of 12.
Converting 11/12:
To convert 11/12 to a fraction with a denominator of 12, you multiply both the numerator and denominator by 1 (which is equivalent to 12/12). This results in 11/12 × 12/12 = 132/144.
Converting 2/3:
To convert 2/3 to a fraction with a denominator of 12, you multiply both the numerator and denominator by 4 (which is equivalent to 4/4). This results in 2/3 × 4/4 = 8/12.
Now we have 132/144 - 8/12.
Step 3: Subtract the two converted fractions.
To subtract fractions with the same denominator, subtract their numerators while keeping the denominator the same.
132/144 - 8/12 = (132 - 8)/144 = 124/144.
Step 4: Simplify the resulting fraction.
To simplify 124/144, you need to find the greatest common divisor (GCD) of the numerator and denominator, which is 4. Divide both numerator and denominator by the GCD (4).
124 ÷ 4 / 144 ÷ 4 = 31/36.
Therefore, 11/12 - 2/3 simplified to its simplest form is 31/36.