3x/4-21x/32= -1 1/8
I would multiply each term by 32 , the HCM
to get
24x - 21x = -36
easy after that.
whats next
Thanks Reiny it helped alot
To solve the equation 3x/4 - 21x/32 = -1 1/8, we need to find the value of x that satisfies the equation. Here's how you can solve it step-by-step:
Step 1: Convert the mixed number -1 1/8 to an improper fraction.
To do this, multiply the whole number (1) by the denominator (8), and then add the numerator (1). The result is 9. Therefore, -1 1/8 can be written as -9/8.
Step 2: Write the equation using a common denominator.
The common denominator for 4 and 32 is 32.
So, the equation becomes (24x - 21x) / 32 = -9/8.
Step 3: Simplify the equation.
Combine the like terms on the left side of the equation: (24x - 21x) = 3x.
The equation now becomes 3x / 32 = -9/8.
Step 4: Cross-multiply and solve for x.
To remove the fractions, cross-multiply the equation:
3x * 8 = -9 * 32.
Simplifying this expression:
24x = -288.
Step 5: Solve for x.
Divide both sides of the equation by 24 to isolate the x:
x = -288 / 24.
Simplifying further:
x = -12.
Therefore, the solution to the equation 3x/4 - 21x/32 = -1 1/8 is x = -12.