1 1/5 {(3 1/3 - 2 1/2) / (2 5/21-2)}

asked by guest
on Apr 07, 2025 at 5:05 am



You asked:

Evaluate the expression: 115⋅313−2122521−21\frac{1}{5} \cdot \frac{3\frac{1}{3} - 2\frac{1}{2}}{2\frac{5}{21} - 2}

MathBot Answer:

115⋅313−2122521−2=215=4.21\frac{1}{5} \cdot \frac{3\frac{1}{3} - 2\frac{1}{2}}{2\frac{5}{21} - 2} = \frac{21}{5} = 4.2

115⋅313−2122521−2=65⋅313−2122521−2=65⋅103−2122521−2=65⋅103−522521−2=65⋅562521−2=65⋅564721−2=65⋅56521=65⋅72=215\begin{aligned}1\frac{1}{5} \cdot \frac{3\frac{1}{3} - 2\frac{1}{2}}{2\frac{5}{21} - 2}&=\frac{6}{5} \cdot \frac{3\frac{1}{3} - 2\frac{1}{2}}{2\frac{5}{21} - 2}\\&=\frac{6}{5} \cdot \frac{\frac{10}{3} - 2\frac{1}{2}}{2\frac{5}{21} - 2}\\&=\frac{6}{5} \cdot \frac{\frac{10}{3} - \frac{5}{2}}{2\frac{5}{21} - 2}\\&=\frac{6}{5} \cdot \frac{\frac{5}{6}}{2\frac{5}{21} - 2}\\&=\frac{6}{5} \cdot \frac{\frac{5}{6}}{\frac{47}{21} - 2}\\&=\frac{6}{5} \cdot \frac{\frac{5}{6}}{\frac{5}{21}}\\&=\frac{6}{5} \cdot \frac{7}{2}\\&=\frac{21}{5}\end{aligned}

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