Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
- Converting to Fractions
- KCF - Keep Change Flip (Dividing Fractions)
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
- (Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
- (Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
- (Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
- (Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
- (Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex]
- (Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]
- Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]
- Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]
- Add: [tex]\displaystyle \frac{50}{100}[/tex]
- Simplify: [tex]\displaystyle \frac{1}{2}[/tex]