Answer :
To solve
[tex]$$
2.35 \cdot \frac{2}{3},
$$[/tex]
we can start by writing the decimal [tex]$2.35$[/tex] as a fraction. Note that
[tex]$$
2.35 = \frac{235}{100}.
$$[/tex]
We then multiply this fraction by [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]$$
\frac{235 \cdot 2}{100 \cdot 3} = \frac{470}{300}.
$$[/tex]
Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. Dividing both by 10 gives:
[tex]$$
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{\frac{47}{30}}.
$$[/tex]
[tex]$$
2.35 \cdot \frac{2}{3},
$$[/tex]
we can start by writing the decimal [tex]$2.35$[/tex] as a fraction. Note that
[tex]$$
2.35 = \frac{235}{100}.
$$[/tex]
We then multiply this fraction by [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]$$
\frac{235 \cdot 2}{100 \cdot 3} = \frac{470}{300}.
$$[/tex]
Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. Dividing both by 10 gives:
[tex]$$
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}.
$$[/tex]
Thus, the final answer is
[tex]$$
\boxed{\frac{47}{30}}.
$$[/tex]
