2 1/8k = 7
k= 3 5/17?
2 1/8k=7
17/8k=7
Multiply both sides by 8/17.
k=8
can you show how you got 8 like 7 x 8/17 but how
Sorry, I made an error. 7/1*8/17=56/17=3 5/17
To verify if the value of k is correct, we can substitute it back into the equation and see if it satisfies the equation.
Given: 2 1/8k = 7
First, let's convert the mixed number 2 1/8 into an improper fraction:
2 1/8 = (2 * 8 + 1) / 8 = 17/8
Now let's substitute the value of k = 3 5/17 into the equation:
2 1/8 * (3 5/17) = 7
To multiply fractions, multiply the numerators together and multiply the denominators together:
(17/8) * (3 5/17)
To multiply a whole number with a fraction, multiply the whole number by the denominator and add the numerator, then divide the result by the denominator:
3 * 17 + 5 = 56
Now we have:
(17/8) * (56/17)
The denominator 17 cancels out:
(17 * 56) / (8 * 1) = 952/8 = 119
Therefore, the equation becomes:
119/8 = 7
To confirm if this equation is true, we can simplify both sides:
119 รท 8 = 14.875
7 = 7
Since the left and right sides of the equation are equal, the value of k = 3 5/17 is correct.