what is the solution of the equation x -9/4=-3/8

Answer 1

To solve the equation x - 9/4 = -3/8, we need to isolate x on one side of the equation.

First, we can start by adding 9/4 to both sides of the equation to get rid of the fraction:

x - 9/4 + 9/4 = -3/8 + 9/4

Simplifying, we have:

x = -3/8 + 9/4

Next, we need to find a common denominator for the fractions on the right side of the equation, which is 8:

x = -3/8 + 9/4

To make -3/8 with the denominator of 8, we multiply the numerator and denominator by 2:

x = (-3 * 2)/(8 * 2) + 9/4

Simplifying further:

x = -6/16 + 9/4

To add -6/16 and 9/4, we need to find a common denominator. The least common multiple of 16 and 4 is 16, so we adjust the fractions:

x = (-6 * 1)/(16 * 1) + (9 * 4)/(4 * 4)

Simplifying again:

x = -6/16 + 36/16

Now that the fractions have the same denominator, we can combine them:

x = (-6 + 36)/16

Adding the numerator:

x = 30/16

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

x = (30/2)/(16/2)

Simplifying the fractions:

x = 15/8

Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.