Question

3 2/45x+1 7/30x=6 1/9

Answer 1

137x/45+37x/30=55/9
домножим 55/9 на 5
(275-137x)/45=37x/30
домножим все равенство на 15
(275-137x)/3=37x/2
550-274x-111x=0
550-385x=0
x=550/385
x=10/7
x=1 3/7

Answer 2

3ц 2\45х +1ц7\30 х=6ц 1\9
3ц2\45х +1ц 7\30х = 3ц 4\90 +1ц 21\90 =4ц25\90 =4ц 5\18х 
4ц 5\18х =6ц1\9
х = 6ц1\9 :4ц 5\18
6ц1\9 : 4ц5\18 =55\9 :77\18 =55\9 x 18\77 =10\7=1ц3\7
х = 1ц3\7
6ц 1\9 = 55\9
4ц5\18 =77\18

Answer 3

To solve the equation 3 2/45x + 1 7/30x = 6 1/9, we'll start by finding a common denominator and then simplifying the equation. The common denominator for 45 and 30 is 90. So, we'll rewrite the fractions with a common denominator:

(3 * 2/45)x + (1 * 3/30)x = 6 1/9

Now, let's simplify the fractions:

(6/90)x + (3/90)x = 6 1/9

Now, add the two fractions on the left side of the equation:

(6/90)x + (3/90)x = (6 + 1/9)

Combine the fractions:

(9/90)x = (54/9 + 1/9)

Now, add the fractions on the right side:

(9/90)x = (55/9)

Now, we can simplify further by dividing both sides of the equation by (9/90) or multiplying by its reciprocal (90/9):

x = (55/9) * (90/9)

x = (55 * 90) / (9 * 9)

x = 4950 / 81

Now, we can simplify this fraction by finding the greatest common divisor (GCD) of 4950 and 81, which is 9:

x = (4950 / 9) / (81 / 9)

x = (550 / 9) / (9)

x = 550 / 81

So, the solution to the equation is:

x = 550 / 81