Solve the equation. Choose the answer in simplest form.
4x = 8/7
a. 1/28
b. 1/7
c. 2/7
d. 7/2
Would the correct answer be b.
Jay/Steve/Miya/Jim -- we've shown you how to solve this kind of problem. Now it's your turn.
To solve the equation 4x = 8/7, we want to isolate x.
First, let's divide both sides of the equation by 4:
(4x)/4 = (8/7)/4
Simplifying the left side:
x = (8/7)/4
To divide a fraction by a number, we can multiply the numerator by the reciprocal of the denominator. The reciprocal of 4 is 1/4:
x = (8/7) * (1/4)
Multiplying the numerators and denominators:
x = (8 * 1) / (7 * 4)
Simplifying the numerator and denominator:
x = 8 / 28
The fraction 8/28 can be simplified further by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 4:
x = (8/4) / (28/4)
x = 2/7
Therefore, the correct answer is c. 2/7.
Yes, the correct answer is b) 1/7. To solve the equation 4x = 8/7, you need to isolate x. To do this, divide both sides of the equation by 4:
4x/4 = (8/7)/4
x = 1/7
Therefore, the solution to the equation is x = 1/7, which matches option b).
Would 4 x 1/7 equal 8/7 ??
Are you just guessing?