Question

5/18 + ( x + 11/15 ) = 1 9/10

Answer 1

Ответ:

x = 8/9

Пошаговое объяснение:

5/8 + x + 11/15 = 19/10

91/90 + x = 19/10

x = 19/10 - 91/90

x = 8/9

Answer 2

To solve the equation, let's simplify the expression on the left side:

5/18 + (x + 11/15) = 1 9/10

To add fractions, we need a common denominator. The least common multiple (LCM) of 18 and 15 is 90, so we'll convert the fractions to have a denominator of 90:

(5/18) + (x + 11/15) = 1 9/10

Multiply the first fraction by 5/5 to get a denominator of 90:

(25/90) + (x + 11/15) = 1 9/10

Now let's deal with the mixed number on the right side. Convert 1 9/10 to an improper fraction:

1 9/10 = (1 * 10 + 9)/10 = 19/10

Substitute this value back into the equation:

(25/90) + (x + 11/15) = 19/10

Next, let's simplify the expression (x + 11/15) by getting a common denominator of 90:

(25/90) + [(90/90)(x) + (11/15)] = 19/10

(25/90) + (90x/90) + (11/15) = 19/10

Simplify further:

(25 + 90x + 66)/90 = 19/10

Combine like terms in the numerator:

(90x + 91)/90 = 19/10

Now cross-multiply:

10(90x + 91) = 90(19)

900x + 910 = 1710

Subtract 910 from both sides:

900x = 1710 - 910

900x = 800

Divide both sides by 900 to solve for x:

x = 800/900

x = 8/9

Therefore, the solution to the equation is x = 8/9.