Question

11, 384.4 ÷ 88.1

Explanation:

Step1: Perform division

We need to calculate \(384.4\div88.1\). Let's do the division:
\(384.4\div88.1=\frac{384.4}{88.1}\)
We can also multiply numerator and denominator by 10 to eliminate decimals: \(\frac{3844}{881}\)
Now, divide 3844 by 881: \(3844\div881 = 4.3632236\cdots\) (approximate value)
But if we notice that \(88.1\times4 = 352.4\), \(88.1\times4.36\approx384.4\) (more accurately, let's do the exact division: \(384.4\div88.1 = 4.3632236\cdots\), but if we check \(88.1\times4.3632236\approx384.4\))
Wait, actually, let's do the division properly:
\(384.4\div88.1 = 4.3632236\cdots\) (using a calculator or long division)
But maybe there is a simpler way. Wait, \(88.1\times4 = 352.4\), \(384.4 - 352.4 = 32\), so \(384.4\div88.1 = 4+\frac{32}{88.1}\approx4 + 0.363=4.363\)
But the exact value is approximately 4.36 (rounded to two decimal places) or 4.363 (rounded to three decimal places)
But let's do the division:
\(384.4\div88.1 = 4.3632236\cdots\)
So the result is approximately 4.36 (or more accurately, 4.363)
Wait, but maybe I made a mistake. Wait, \(88.1\times4.36 = 88.1\times4 + 88.1\times0.36 = 352.4+31.716 = 384.116\), which is close to 384.4. The difference is \(384.4 - 384.116 = 0.284\), so \(0.284\div88.1\approx0.0032\), so total is \(4.36 + 0.0032 = 4.3632\), which matches the earlier calculation.
So the result of \(384.4\div88.1\) is approximately 4.36 (or 4.363)

Step2: Finalize the answer

After performing the division, we get the result.

Answer:

\(384.4\div88.1\approx4.36\) (or more accurately \(4.363\))