What should be subtracted from `(5)/(7)` to get`1`?

Options

A. `(-2)/(7)`
B. `(4)/(7)`
C. `(2)/(7)`
D. `(-4)/(7)`

Answer

To solve the problem of what should be subtracted from \( \frac{5}{7} \) to get \( 1 \), we can follow these steps:

### Step 1: Set up the equation
Let \( x \) be the number that needs to be subtracted from \( \frac{5}{7} \). According to the problem, we have:
\[ \frac{5}{7} - x = 1 \]

### Step 2: Rearrange the equation
To find \( x \), we can rearrange the equation:
\[ x = \frac{5}{7} - 1 \]

### Step 3: Convert \( 1 \) to a fraction
To perform the subtraction, we need to express \( 1 \) as a fraction with a denominator of \( 7 \):
\[ 1 = \frac{7}{7} \]
Now, substitute this back into the equation:
\[ x = \frac{5}{7} - \frac{7}{7} \]

### Step 4: Perform the subtraction
Now, we can subtract the fractions:
\[ x = \frac{5 - 7}{7} = \frac{-2}{7} \]

### Step 5: Conclusion
Thus, the number that should be subtracted from \( \frac{5}{7} \) to get \( 1 \) is:
\[ x = -\frac{2}{7} \]

### Final Answer
The answer is \( -\frac{2}{7} \).

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