Subjects arithmetic

Fraction Expression Ebc987

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Let's solve this step by step! 🎉 **Step 1:** Look at the first big fraction: $$\frac{3-2}{4-5- (0.83 + 0.05)}$$ Calculate top (numerator): $3 - 2 = 1$ Calculate inside parentheses bottom: $0.83 + 0.05 = 0.88$ Calculate bottom (denominator): $4 - 5 - 0.88 = -1 - 0.88 = -1.88$ So first fraction = $$\frac{1}{-1.88}$$ **Step 2:** Calculate next parentheses: $0.75 - 0.16 = 0.59$ **Step 3:** Add numerator of the big division: $$\frac{1}{-1.88} + 0.59$$ We find a common denominator for $0.59 = \frac{0.59 \times 1.88}{1.88} = \frac{1.1092}{1.88}$ So sum = $$\frac{1}{-1.88} + \frac{1.1092}{1.88} = \frac{1 - 1.1092}{-1.88} = \frac{-0.1092}{-1.88} = 0.0581$$ **Step 4:** Now divide by next big fraction $$\frac{0.6 + \frac{2}{5}}{1} + \frac{1}{32}$$ Calculate $0.6 + \frac{2}{5} = 0.6 + 0.4 = 1$ So denominator is $1 + \frac{1}{32} = \frac{32}{32} + \frac{1}{32} = \frac{33}{32} = 1.03125$ **Step 5:** Divide numerator by denominator: $$\frac{0.0581}{1.03125} = 0.0563$$ **Answer:** The final answer is about $0.0563$ Great job! 🌟 Keep practicing fractions and decimals!