2/3 Minus 1/4 as a Fraction
To find the result of 2/3 minus 1/4 as a fraction, we need to follow the rules of subtracting fractions.
Step 1: Find the Least Common Multiple (LCM)
The least common multiple (LCM) of 3 and 4 is 12. To find the LCM, we list the multiples of each number:
Multiples of 3: 3, 6, 9, 12, ... Multiples of 4: 4, 8, 12, ...
The first number that appears in both lists is 12, so the LCM is 12.
Step 2: Convert Both Fractions to Have a Denominator of 12
To convert 2/3 to have a denominator of 12, we multiply both the numerator and the denominator by 4:
2/3 = (2 x 4)/(3 x 4) = 8/12
To convert 1/4 to have a denominator of 12, we multiply both the numerator and the denominator by 3:
1/4 = (1 x 3)/(4 x 3) = 3/12
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them:
8/12 - 3/12 = (8 - 3)/12 = 5/12
Therefore, 2/3 minus 1/4 as a fraction is 5/12.
