Evaluate : `(0.0203 xx 2.92)/(0.0073 xx 14.5 xx0.7)`

Answer

To evaluate the expression \((0.0203 \times 2.92) / (0.0073 \times 14.5 \times 0.7)\), we will follow these steps:

### Step 1: Remove the decimals
We will first convert each decimal number into a whole number by multiplying by the appropriate power of 10.

- For \(0.0203\), there are 4 digits after the decimal, so we multiply by \(10^4\) (or 10,000):
\[ 0.0203 \times 10,000 = 203 \]

- For \(2.92\), there are 2 digits after the decimal, so we multiply by \(10^2\) (or 100):
\[ 2.92 \times 100 = 292 \]

- For \(0.0073\), there are 4 digits after the decimal, so we multiply by \(10^4\) (or 10,000):
\[ 0.0073 \times 10,000 = 73 \]

- For \(14.5\), there is 1 digit after the decimal, so we multiply by \(10^1\) (or 10):
\[ 14.5 \times 10 = 145 \]

- For \(0.7\), there is 1 digit after the decimal, so we multiply by \(10^1\) (or 10):
\[ 0.7 \times 10 = 7 \]

### Step 2: Rewrite the expression
Now we can rewrite the original expression without decimals:
\[ \frac{203 \times 292}{73 \times 145 \times 7} \]

### Step 3: Calculate the denominator
Now we will calculate the denominator:
\[ 73 \times 145 \times 7 \]

Calculating \(73 \times 145\):
\[ 73 \times 145 = 10585 \]
Now multiply by 7:
\[ 10585 \times 7 = 74195 \]

### Step 4: Calculate the numerator
Next, we will calculate the numerator:
\[ 203 \times 292 \]

Calculating \(203 \times 292\):
\[ 203 \times 292 = 59276 \]

### Step 5: Divide the numerator by the denominator
Now we will divide the numerator by the denominator:
\[ \frac{59276}{74195} \]

### Step 6: Simplify the fraction
Using a calculator or long division, we find:
\[ \frac{59276}{74195} \approx 0.798 \]

### Step 7: Round to one decimal place
Rounding \(0.798\) to one decimal place gives us:
\[ 0.8 \]

### Final Answer
Thus, the value of the expression \((0.0203 \times 2.92) / (0.0073 \times 14.5 \times 0.7)\) is:
\[ \boxed{0.8} \]