1.42+1.42+1.21/3

asked by guest
on Oct 07, 2024 at 11:26 am



You asked:

Evaluate the expression: \(1.42 + 1.42 + \frac{1.21}{3}\)

MathBot Answer:

\[1.42 + 1.42 + \frac{1.21}{3} = \frac{973}{300} = 3.24\overline{3}\]

\[\begin{aligned}1.42 + 1.42 + \frac{1.21}{3}& = 1 + \frac{42}{100} + 1 + \frac{42}{100} + \left(1 + \frac{21}{100}\right) \cdot \frac{1}{3}\\& = 1 + \frac{21}{50} + 1 + \frac{42}{100} + \left(1 + \frac{21}{100}\right) \cdot \frac{1}{3}\\& = 1 + \frac{21}{50} + 1 + \frac{21}{50} + \left(1 + \frac{21}{100}\right) \cdot \frac{1}{3}\\& = 1 + \frac{21}{50} + 1 + \frac{21}{50} + \frac{121}{100} \cdot \frac{1}{3}\\& = 1 + \frac{21}{50} + 1 + \frac{21}{50} + \frac{121}{300}\\& = \frac{71}{50} + 1 + \frac{21}{50} + \frac{121}{300}\\& = \frac{121}{50} + \frac{21}{50} + \frac{121}{300}\\& = \frac{71}{25} + \frac{121}{300}\\& = \frac{973}{300}\end{aligned}\]

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