Answer :
To solve the problem, we begin by writing the decimal number as a fraction. Notice that
[tex]$$
2.35 = \frac{235}{100}.
$$[/tex]
Now we want to multiply by the fraction [tex]$\frac{2}{3}$[/tex]:
[tex]$$
2.35 \cdot \frac{2}{3} = \frac{235}{100} \cdot \frac{2}{3}.
$$[/tex]
Multiply the numerators and the denominators:
[tex]$$
\frac{235 \times 2}{100 \times 3} = \frac{470}{300}.
$$[/tex]
Next, simplify the fraction by dividing the numerator and the denominator by their common factor, which is 10:
[tex]$$
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{\frac{47}{30}}.
$$[/tex]
[tex]$$
2.35 = \frac{235}{100}.
$$[/tex]
Now we want to multiply by the fraction [tex]$\frac{2}{3}$[/tex]:
[tex]$$
2.35 \cdot \frac{2}{3} = \frac{235}{100} \cdot \frac{2}{3}.
$$[/tex]
Multiply the numerators and the denominators:
[tex]$$
\frac{235 \times 2}{100 \times 3} = \frac{470}{300}.
$$[/tex]
Next, simplify the fraction by dividing the numerator and the denominator by their common factor, which is 10:
[tex]$$
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{\frac{47}{30}}.
$$[/tex]
