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Answer :
To solve the problem
$$
2.35 \cdot \frac{2}{3},
$$
we start by converting the decimal to a fraction.
1. Write $2.35$ as a fraction:
$$
2.35 = \frac{235}{100}
$$
2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Dividing both by $5$, we get:
$$
\frac{235 \div 5}{100 \div 5} = \frac{47}{20}
$$
3. Now, multiply the fraction $\frac{47}{20}$ by $\frac{2}{3}$:
$$
\frac{47}{20} \cdot \frac{2}{3} = \frac{47 \times 2}{20 \times 3} = \frac{94}{60}
$$
4. Finally, simplify $\frac{94}{60}$. Dividing the numerator and the denominator by $2$:
$$
\frac{94 \div 2}{60 \div 2} = \frac{47}{30}
$$
Thus, the final answer is
$$
\frac{47}{30}.
$$
$$
2.35 \cdot \frac{2}{3},
$$
we start by converting the decimal to a fraction.
1. Write $2.35$ as a fraction:
$$
2.35 = \frac{235}{100}
$$
2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Dividing both by $5$, we get:
$$
\frac{235 \div 5}{100 \div 5} = \frac{47}{20}
$$
3. Now, multiply the fraction $\frac{47}{20}$ by $\frac{2}{3}$:
$$
\frac{47}{20} \cdot \frac{2}{3} = \frac{47 \times 2}{20 \times 3} = \frac{94}{60}
$$
4. Finally, simplify $\frac{94}{60}$. Dividing the numerator and the denominator by $2$:
$$
\frac{94 \div 2}{60 \div 2} = \frac{47}{30}
$$
Thus, the final answer is
$$
\frac{47}{30}.
$$
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