Question

1 1/8 x + 5/6 x-5/24 x=1

Answer 1

1 3/24x+20/24x-5/24x=1
1 18/24x=1
1 3/4x=1
7/4x=1
x=1*4/7
x=4/7

Answer 2

To solve the equation 1 1/8 x + 5/6 x - 5/24 x = 1, we need to simplify the left side of the equation and isolate the variable x.

Let's find a common denominator for the fractions involved. The common denominator for 8, 6, and 24 is 24.

1 1/8 x can be rewritten as 9/8 x. (Note: 1 whole is equal to 8/8, so adding 1/8 is the same as adding 8/8 + 1/8 = 9/8)

5/6 x remains the same.

-5/24 x remains the same.

Now we can rewrite the equation:

(9/8)x + (5/6)x - (5/24)x = 1

To add or subtract fractions, the denominators must be the same. In this case, we already have the same denominator of 24.

Combining the like terms on the left side, we get:

(9/8 + 5/6 - 5/24)x = 1

To add the fractions, we need to find a common denominator for 8, 6, and 24, which is 24. Then we convert each fraction to have a denominator of 24:

(9/8) * (3/3) = 27/24

(5/6) * (4/4) = 20/24

(5/24) remains the same

The equation becomes:

(27/24)x + (20/24)x - (5/24)x = 1

Adding the fractions on the left side:

(27/24 + 20/24 - 5/24)x = 1

(42/24)x = 1

Now, let's simplify the fraction (42/24):

The numerator (42) and denominator (24) can both be divided by their greatest common divisor, which is 6:

42 ÷ 6 = 7 24 ÷ 6 = 4

The equation becomes:

(7/4)x = 1

To isolate x, we can multiply both sides of the equation by the reciprocal of 7/4, which is 4/7:

(4/7)(7/4)x = (4/7)1

The left side simplifies to:

x = 4/7

Therefore, the solution to the equation is x = 4/7.