need to solve this equation 3/4 k - 1/6 =1/2
make everything into twelfths, so you have...
9/12k-2/12 =6/12
take out the 2/12
so... 9/12k=8/12
so now you divide 8/12 by 9/12
= 8/12*12/9 = 96/108 and simplify to 8/9
so k = 8/9
okkkk..
move the 1/6 to the side with the 1/2. That will make 4/6 or 2/3.
it will equal 3k/4 = 2/3
cross multiply the 4 with 2 and 3 with 3 equaling k= 8/9
multiply each term by 12, the LCM to get
9k - 2 = 6
how easy now!
To solve the equation (3/4)k - 1/6 = 1/2, you need to isolate the variable k. Here's the step-by-step process:
Step 1: Add 1/6 to both sides of the equation to get rid of the constant term:
(3/4)k - 1/6 + 1/6 = 1/2 + 1/6
Simplifying the right side gives:
(3/4)k = 1/2 + 1/6
Step 2: Find a common denominator for the right side. The least common multiple of 2 and 6 is 6:
(3/4)k = (3/6) + (1/6)
Simplifying the right side gives:
(3/4)k = 4/6
Step 3: Convert 4/6 to an equivalent fraction with a denominator of 4:
(3/4)k = (4/6) * (2/2)
Multiplying the numerators and denominators gives:
(3/4)k = 8/12
Step 4: Divide both sides of the equation by 3/4 to isolate the variable k:
k = (8/12) / (3/4)
To divide fractions, multiply the first fraction by the reciprocal (or multiplicative inverse) of the second fraction:
k = (8/12) * (4/3)
Simplifying both the numerators and denominators gives:
k = (2/3) * (4/1)
Step 5: Multiply the numerators and denominators together:
k = (2 * 4) / (3 * 1)
Simplifying gives the final answer:
k = 8/3 or k = 2 2/3