Question

7/18 x -5/12= 3 2/3​

Answer 1

Відповідь:

10 1/2

Покрокове пояснення:

7/18x-5/12=3 2/3

7/18x= 3 2/3 + 5/12

7/18x=4 1/12

x=4 1/12 : 7/18=49/12 : 7/18=49/12 * 18/7= 882/84=21/2=10 1/2(дробь 882/84 сократили на 42)

х=10 1/2

Answer 2

To solve the equation (7/18)x - (5/12) = 3 2/3, you can follow these steps:

Step 1: Convert the mixed number 3 2/3 to an improper fraction. To do this, multiply the whole number (3) by the denominator of the fraction (3) and then add the numerator (2). This gives us (3 * 3) + 2 = 9 + 2 = 11/3. So, 3 2/3 is equivalent to 11/3.

Step 2: Rewrite the equation with the improper fraction:

(7/18)x - (5/12) = 11/3

Step 3: To eliminate the fractions, you can find a common denominator for 18 and 12, which is 36. Then, rewrite the fractions with the common denominator:

(7/18)x - (15/36) = 11/3

Step 4: Now, multiply both sides of the equation by 36 to clear the fractions:

36 * (7/18)x - 36 * (15/36) = 36 * (11/3)

Step 5: Simplify each term:

(7/18)x - 15 = 132/3

Step 6: Reduce 132/3 to its simplest form. 132 divided by 3 is 44:

(7/18)x - 15 = 44

Step 7: Add 15 to both sides of the equation to isolate the term with x:

(7/18)x - 15 + 15 = 44 + 15

(7/18)x = 59

Step 8: Finally, solve for x by multiplying both sides by the reciprocal of (7/18), which is (18/7):

x = 59 * (18/7)

x = (59 * 18) / 7

x = 1062/7

So, the solution to the equation is:

x = 1062/7 or x ≈ 151.71 (rounded to two decimal places)