Convert each of the following fractions into a decimal :
`7/8`

Answer

To convert the fraction \( \frac{7}{8} \) into a decimal, we can follow these steps:

### Step 1: Identify the fraction
We have the fraction \( \frac{7}{8} \).

### Step 2: Find a way to convert the denominator to a power of 10
To convert \( 8 \) into a multiple of \( 10 \), we can multiply it by \( 125 \) because \( 8 \times 125 = 1000 \).

### Step 3: Multiply the numerator and denominator by the same number
Now, we multiply both the numerator and the denominator by \( 125 \):
\[ \frac{7}{8} \times \frac{125}{125} = \frac{7 \times 125}{8 \times 125} \]

### Step 4: Calculate the new numerator and denominator
Calculating the new numerator:
\[ 7 \times 125 = 875 \]
Calculating the new denominator:
\[ 8 \times 125 = 1000 \]
So, we have:
\[ \frac{875}{1000} \]

### Step 5: Convert the fraction to decimal
Now, we can convert \( \frac{875}{1000} \) into a decimal. Since the denominator is \( 1000 \), we can write it as:
\[ 0.875 \]

### Final Answer
Thus, the decimal equivalent of \( \frac{7}{8} \) is \( 0.875 \).

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