Decimal of `[3/4 + 4/5 + 8/25]` is equal to:

Options

A. 1.87
B. 18.7
C. 187
D. 1870

Answer

To solve the problem of finding the decimal of \(\frac{3}{4} + \frac{4}{5} + \frac{8}{25}\), we will follow these steps:

### Step 1: Identify the denominators
The denominators of the fractions are 4, 5, and 25.

### Step 2: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the LCM of the denominators (4, 5, and 25).
- The LCM of 4, 5, and 25 is 100.

### Step 3: Convert each fraction to have the common denominator
Now we convert each fraction to have a denominator of 100:
- For \(\frac{3}{4}\):
\[ \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} \]
- For \(\frac{4}{5}\):
\[ \frac{4}{5} = \frac{4 \times 20}{5 \times 20} = \frac{80}{100} \]
- For \(\frac{8}{25}\):
\[ \frac{8}{25} = \frac{8 \times 4}{25 \times 4} = \frac{32}{100} \]

### Step 4: Add the fractions
Now we can add the fractions:
\[ \frac{75}{100} + \frac{80}{100} + \frac{32}{100} = \frac{75 + 80 + 32}{100} = \frac{187}{100} \]

### Step 5: Convert the result to decimal
To convert \(\frac{187}{100}\) to decimal:
\[ \frac{187}{100} = 1.87 \]

### Final Answer
The decimal of \(\frac{3}{4} + \frac{4}{5} + \frac{8}{25}\) is **1.87**.

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