Question

( 2 7/8 -x ) + 4 1/6 = 5 3/4

Answer 1

Ответ: 31/24 или 1 7/24

Пошаговое объяснение:

Answer 2

1) ( 2 7\8 - х) + 4 1\6= 5 3\4

х=5 3/4-4 1/6-2 7/8                                  

х=5 18/24-4 4/24-2 21/24    

х=-1 7/24

Х=1 7/24

Answer 3

To solve for the value of x in the equation $2 \frac{7}{8} - x + 4 \frac{1}{6} = 5 \frac{3}{4}$, follow these steps:

Step 1: Convert Mixed Numbers to Improper Fractions $2 \frac{7}{8}$ can be written as an improper fraction: $2 \frac{7}{8} = \frac{2 \cdot 8 + 7}{8} = \frac{23}{8}$. Similarly, $4 \frac{1}{6}$ can be written as an improper fraction: $4 \frac{1}{6} = \frac{4 \cdot 6 + 1}{6} = \frac{25}{6}$. And $5 \frac{3}{4}$ as an improper fraction: $5 \frac{3}{4} = \frac{5 \cdot 4 + 3}{4} = \frac{23}{4}$.

Step 2: Substitute Improper Fractions into the Equation The equation becomes: $\frac{23}{8} - x + \frac{25}{6} = \frac{23}{4}$.

Step 3: Add and Subtract Fractions First, find a common denominator for the fractions on the left side of the equation. The least common multiple of 8 and 6 is 24.

$\frac{23 \cdot 3}{8 \cdot 3} - x + \frac{25 \cdot 4}{6 \cdot 4} = \frac{23 \cdot 6}{4 \cdot 6}$.

Simplify the fractions:

$\frac{69}{24} - x + \frac{100}{24} = \frac{138}{24}$.

Step 4: Combine Fractions Combine the fractions on the left side:

$\frac{69 + 100}{24} - x = \frac{138}{24}$.

$\frac{169}{24} - x = \frac{138}{24}$.

Step 5: Solve for x Subtract $\frac{169}{24}$ from both sides:

$-x = \frac{138}{24} - \frac{169}{24}$.

$-x = -\frac{31}{24}$.

Finally, solve for $x$ by multiplying both sides by -1:

$x = \frac{31}{24}$.

So, the solution for the equation $2 \frac{7}{8} - x + 4 \frac{1}{6} = 5 \frac{3}{4}$ is $x = \frac{31}{24}$.