What is the value of \(\frac{{5.6 \times 0.36 + 0.42 \times 3.2}}{{0.8 \times 2.1}}?\)
2
Factor the numerator:
\[5.6\times 0.36 + 0.42\times 3.2 = 0.8\times 7\times 0.36 + 0.42\times 0.8\times 4\]
Take out \(0.8\) as a common factor with the denominator. Direct computation: numerator \(=2.016+1.344=3.36\); denominator \(=0.8\times 2.1=1.68\).
Therefore the value \(=\dfrac{3.36}{1.68}=\mathbf{2}\).
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