Question

19 28/32 – (m + 2 29/32) = 12 15/32

Answer 1

Ответ:

m = 4 1/2

Пошаговое объяснение:

Answer 2

решение смотри на прикрепленном фото

Answer 3

To solve the equation $19 \frac{28}{32} - (m + 2 \frac{29}{32}) = 12 \frac{15}{32}$, follow these steps:

1. Convert mixed numbers to improper fractions: $19 \frac{28}{32} = \frac{32 \times 19 + 28}{32} = \frac{608 + 28}{32} = \frac{636}{32}$ $2 \frac{29}{32} = \frac{32 \times 2 + 29}{32} = \frac{64 + 29}{32} = \frac{93}{32}$ $12 \frac{15}{32} = \frac{32 \times 12 + 15}{32} = \frac{384 + 15}{32} = \frac{399}{32}$

2. Substitute these values back into the original equation: $\frac{636}{32} - \left(m + \frac{93}{32}\right) = \frac{399}{32}$

3. Combine like terms: $\frac{636}{32} - \frac{32m + 93}{32} = \frac{399}{32}$

4. Combine the numerators: $\frac{636 - (32m + 93)}{32} = \frac{399}{32}$

5. Simplify the numerator: $\frac{636 - 32m - 93}{32} = \frac{399}{32}$

6. Combine like terms in the numerator: $\frac{543 - 32m}{32} = \frac{399}{32}$

7. Set the numerators equal to each other: $543 - 32m = 399$

8. Isolate the variable $m$: $-32m = 399 - 543$

   $-32m = -144$

   $m = \frac{-144}{-32}$

   Simplifying the fraction: $m = \frac{9}{2}$

So, the solution to the equation is $m = \frac{9}{2}$.