Question

4 5/10 : x + 3/4=2 14/28​

Answer 1

Ответ:

Пошаговое объяснение:

4 5/10 : x + 3/4=2 14/28​

4 5/10 : x = 2 1/2 - 3/4

4 5/10 : x = 2 2/4 - 3/4

4 5/10 : x = 1 3/4

x = 4 1/2 : 1 3/4

x = 9/2 : 7/4

x = 9/2 * 4/7

x = 18/7

x = 2 4/7

Answer 2

To solve for x in the equation $4 \frac{5}{10} + \frac{3}{4} = 2 \frac{14}{28}$, follow these steps:

Step 1: Simplify the fractions and mixed numbers:

$4 \frac{5}{10}$ can be simplified to $4 \frac{1}{2}$ since both the numerator (5) and denominator (10) are divisible by 5. So, $4 \frac{5}{10} = 4 \frac{1}{2}$.

$2 \frac{14}{28}$ can be simplified to $2 \frac{1}{2}$ since both the numerator (14) and denominator (28) are divisible by 14. So, $2 \frac{14}{28} = 2 \frac{1}{2}$.

Step 2: Rewrite the equation with the simplified values:

$4 \frac{1}{2} + \frac{3}{4} = 2 \frac{1}{2}$

Step 3: Find a common denominator for the fractions, which in this case is 4:

$4 \frac{2}{4} + \frac{3}{4} = 2 \frac{2}{4}$

Step 4: Add the fractions:

$4 \frac{2}{4} + \frac{3}{4} = 2 \frac{2}{4}$

Now, you can simplify further:

$4 \frac{1}{1} + \frac{3}{4} = 2 \frac{1}{2}$

Step 5: Add the whole numbers and fractions separately:

$4 + 1 + \frac{3}{4} = 2 + 1\frac{1}{2}$

$5 + \frac{3}{4} = 2\frac{1}{2}$

Step 6: Subtract 2 from both sides of the equation to isolate the fraction on the left side:

$5 - 2 + \frac{3}{4} = 2\frac{1}{2} - 2$

$3 + \frac{3}{4} = \frac{1}{2}$

Step 7: Subtract 3 from both sides:

$\frac{3}{4} = \frac{1}{2}$

Step 8: To isolate the fraction on the left side, multiply both sides by 4:

$4 \cdot \frac{3}{4} = 4 \cdot \frac{1}{2}$

$3 = 2$

However, we have reached an equation that is not true ($3 = 2$). This means that there is no solution to the original equation $4 \frac{5}{10} + \frac{3}{4} = 2 \frac{14}{28}$. The equation is inconsistent.