Question

(5 3/7-х)-(3 1/3+1 2/3)=1/7

Answer 1

Ответ:

5 3/17 - (2 1/2 + 1 1/3) : 1/6 = - 17 4/7

1) 2 1/2 + 1 1/3 = 5/2 + 4/3 = 15/6 + 8/6 = 23/6

2) 23/6 : 1/6 = 23

3) 5 3/7 - 23 = - 17 4/7

Answer 2

Let's simplify the expression step by step:

1. Start with the first part of the expression: $5 \frac{3}{7} - x$.
2. Now, simplify the second part of the expression: $3 \frac{1}{3} + 1 \frac{2}{3}$.

Let's work on these separately:

First Part: $5 \frac{3}{7} - x$

To subtract fractions, they need the same denominator. In this case, the denominator is 7. So, convert the mixed number to an improper fraction:

$5 \frac{3}{7} = \frac{5 \cdot 7 + 3}{7} = \frac{35 + 3}{7} = \frac{38}{7}$

Now the expression becomes:

$\frac{38}{7} - x$

Second Part: $3 \frac{1}{3} + 1 \frac{2}{3}$

Again, convert both mixed numbers to improper fractions:

$3 \frac{1}{3} = \frac{3 \cdot 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}$

$1 \frac{2}{3} = \frac{1 \cdot 3 + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3}$

Now the expression becomes:

$\frac{10}{3} + \frac{5}{3}$

Now, add the two fractions:

$\frac{10}{3} + \frac{5}{3} = \frac{10 + 5}{3} = \frac{15}{3} = 5$

So, the second part simplifies to 5:

Now, the original expression is:

$\frac{38}{7} - x - 5$

To isolate $x$, we can combine the constants on the left side:

$\frac{38}{7} - 5 - x$

Now, subtract 5 from $\frac{38}{7}$:

$\frac{38}{7} - 5 = \frac{38}{7} - \frac{35}{7} = \frac{3}{7}$

So, the expression becomes:

$\frac{3}{7} - x$

Now, you want this expression to be equal to $\frac{1}{7}$:

$\frac{3}{7} - x = \frac{1}{7}$

To isolate $x$, subtract $\frac{1}{7}$ from both sides:

$\frac{3}{7} - \frac{1}{7} = x$

$\frac{2}{7} = x$

So, the value of $x$ that satisfies the equation is $x = \frac{2}{7}$.