Question
Download Solution PDFSimplify the following expression:
\(\frac{0.7^2+(0.4+0.2)(0.7)+(0.4 \times 0.2)}{(0.7+0.4)}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Expression: (0.72 + (0.4 + 0.2) × 0.7 + 0.4 × 0.2) / (0.7 + 0.4)
Formula used:
Simplify the numerator first and then divide by the denominator.
Calculation:
Numerator: 0.72 + (0.4 + 0.2) × 0.7 + 0.4 × 0.2
= 0.49 + 0.6 × 0.7 + 0.08
= 0.49 + 0.42 + 0.08
= 0.99
Denominator: 0.7 + 0.4
= 1.1
Now, divide the numerator by the denominator:
0.99 / 1.1
= 0.9
∴ The simplified value of the expression is 0.9.
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