Question

Решите уравнения:а) b-13/15=13/45 б) 7,36d-3,6d=39,48

Answer 1

$a)~~ b - \dfrac{13}{15}=\dfrac{13}{45};~~~b=\dfrac{13}{45}+\dfrac{13}{15}=\dfrac{13}{45}+\dfrac{13\cdot3}{15\cdot3}=\dfrac{13}{45}+\dfrac{39}{45}=\dfrac{52}{45}\\ \\~~~~\boldsymbol{b=1\dfrac{7}{45}}$

б)  7,36 d - 3,6 d = 39,48

    (7,36 - 3,6) d = 39,48

    3,76 d = 39,48

    d = 39,48 : 3,76

     d = 10,5

Answer 2

а) To solve the equation $b - \frac{13}{15} = \frac{13}{45}$, follow these steps:

Step 1: Get rid of the fraction by multiplying both sides of the equation by the least common multiple (LCM) of 15 and 45, which is 45.

$45 \cdot (b - \frac{13}{15}) = 45 \cdot \frac{13}{45}$

Step 2: Simplify the equation.

$45b - 13 = 13$

Step 3: Isolate the variable b by moving the constant term (-13) to the other side of the equation.

$45b = 13 + 13$

$45b = 26$

Step 4: Finally, solve for b by dividing both sides by 45.

$b = \frac{26}{45}$

b) To solve the equation $7.36d - 3.6d = 39.48$, follow these steps:

Step 1: Combine like terms on the left side of the equation.

$7.36d - 3.6d = 3.76d$

Step 2: Now, the equation becomes:

$3.76d = 39.48$

Step 3: To solve for d, divide both sides by 3.76.

$d = \frac{39.48}{3.76}$

$d = 10.5$

Therefore, the solutions to the equations are:

а) $b = \frac{26}{45}$

b) $d = 10.5$