Question

X -49 7/12 равно 51 5/6 + 10 1/18​

Answer 1

Ответ:

x= 111 17/36

Пошаговое объяснение:

x - 49 7/12=51 5/6 + 10 1/18

решаем сначала вторую часть, домножаем 5/6 до 18, т.к. 18 - НОК (умножение идёт на 3)

x - 49 7/12=51 15/18 + 10 1/18

x - 49 7/12=61 16/18

отлично, мы упростили выражение. дальше идёт аналогия с обычными уравнениями. чтобы найти неизвестное уменьшаемое, надо разность прибавить к вычитаемому.

x= 49 7/12+61 16/18

НОК чисел - 36. домножаем числа до 36 (12 на 3 и 18 на 2)

x= 49 21/36+61 32/36

x=111 17/36

отлично, мы молодцы!

Answer 2

To solve the equation $X - \frac{49 7}{12} = 51 \frac{5}{6} + 10 \frac{1}{18}$, first, let's convert all the mixed numbers and fractions into improper fractions.

$49 \frac{7}{12}$ as an improper fraction is $\frac{49 \times 12 + 7}{12} = \frac{595}{12}$.

$51 \frac{5}{6}$ as an improper fraction is $\frac{51 \times 6 + 5}{6} = \frac{311}{6}$.

$10 \frac{1}{18}$ as an improper fraction is $\frac{10 \times 18 + 1}{18} = \frac{181}{18}$.

The equation becomes:

$X - \frac{595}{12} = \frac{311}{6} + \frac{181}{18}$

Now, let's find a common denominator for $\frac{311}{6}$ and $\frac{181}{18}$. The least common multiple of 6 and 18 is 18.

So, we need to rewrite $\frac{311}{6}$ with a denominator of 18:

$\frac{311}{6} = \frac{311 \times 3}{6 \times 3} = \frac{933}{18}$

Now, the equation becomes:

$X - \frac{595}{12} = \frac{933}{18} + \frac{181}{18}$

Combine the fractions on the right side:

$\frac{933}{18} + \frac{181}{18} = \frac{933 + 181}{18} = \frac{1114}{18}$

Now, the equation is:

$X - \frac{595}{12} = \frac{1114}{18}$

To simplify the right side, divide both the numerator and denominator by their greatest common divisor, which is 2:

$\frac{1114}{18} = \frac{557}{9}$

Now, the equation is:

$X - \frac{595}{12} = \frac{557}{9}$

To solve for $X$, add $\frac{595}{12}$ to both sides:

$X = \frac{557}{9} + \frac{595}{12}$

To add these fractions, find a common denominator, which is 36:

$\frac{557}{9} = \frac{557 \times 4}{9 \times 4} = \frac{2228}{36}$ $\frac{595}{12} = \frac{595 \times 3}{12 \times 3} = \frac{1785}{36}$

Now, add the fractions:

$X = \frac{2228}{36} + \frac{1785}{36}$ $X = \frac{4013}{36}$