Question

2 2/5 : (29х - 1 2/3) = 3 1/5

Answer 1

2 2/5:(29х-1 2/3)=3 1/5
29х-1 2/3=12/5:16/5
29х-1 2/3=3/4
29х=3/4+1 2/3
29х=9/12+1 8/12
29х=1 17/12
29х=2 5/12
х=29/12:29
х=1/12

Answer 2

2 2/5 : ( 29х - 1 2/3 ) = 3 1/5
29х - 1 2/3 = 12/5 : 16/5
29х = 3/4 + 1 2/3
29х = 9/12 + 1 8/12
29х = 2 5/12
Х = 29/12 : 29
Х = 1/12

Answer 3

To solve the equation $2\frac{2}{5} : (29x - 1\frac{2}{3}) = 3\frac{1}{5}$, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

$2\frac{2}{5}$ is equivalent to $\frac{12}{5}$. $1\frac{2}{3}$ is equivalent to $\frac{5}{3}$. $3\frac{1}{5}$ is equivalent to $\frac{16}{5}$.

Now, the equation becomes:

$\frac{12}{5} : (29x - \frac{5}{3}) = \frac{16}{5}$

Step 2: Get rid of the fractions by multiplying both sides of the equation by a common denominator, which is 15 in this case.

$15 \cdot \frac{12}{5} : 15 \cdot (29x - \frac{5}{3}) = 15 \cdot \frac{16}{5}$

This simplifies to:

$36(29x - \frac{5}{3}) = 48$

Step 3: Distribute the 36 on the left side of the equation:

$36 \cdot 29x - 36 \cdot \frac{5}{3} = 48$

Step 4: Solve for $x$.

$1044x - 60 = 48$

Now, add 60 to both sides of the equation:

$1044x = 48 + 60$ $1044x = 108$

Finally, divide both sides by 1044 to isolate $x$:

$x = \frac{108}{1044}$

Now, you can simplify this fraction:

$x = \frac{9}{87}$

Both 9 and 87 are divisible by 9, so:

$x = \frac{1}{9}$

So, the solution to the equation is $x = \frac{1}{9}$.