Answer :
To solve the problem of multiplying [tex]$2.35$[/tex] by [tex]$\frac{2}{3}$[/tex] and converting the result into a fraction, let's break down the steps:
1. Understand the Operation: We need to multiply the decimal number [tex]$2.35$[/tex] by the fraction [tex]$\frac{2}{3}$[/tex].
2. Perform the Multiplication: When you multiply [tex]$2.35$[/tex] by [tex]$\frac{2}{3}$[/tex], you get a result of approximately [tex]$1.5667$[/tex].
3. Convert to Fraction: The next step is to express this decimal result as a fraction in its simplest form. The decimal [tex]$1.5667$[/tex] is equivalent to the fraction [tex]$\frac{47}{30}$[/tex] when rounded to the nearest fraction that matches the decimal closely.
Therefore, the result of [tex]$2.35 \cdot \frac{2}{3}$[/tex] is [tex]$\frac{47}{30}$[/tex]. This matches the given answer choice [tex]$\frac{47}{30}$[/tex].
1. Understand the Operation: We need to multiply the decimal number [tex]$2.35$[/tex] by the fraction [tex]$\frac{2}{3}$[/tex].
2. Perform the Multiplication: When you multiply [tex]$2.35$[/tex] by [tex]$\frac{2}{3}$[/tex], you get a result of approximately [tex]$1.5667$[/tex].
3. Convert to Fraction: The next step is to express this decimal result as a fraction in its simplest form. The decimal [tex]$1.5667$[/tex] is equivalent to the fraction [tex]$\frac{47}{30}$[/tex] when rounded to the nearest fraction that matches the decimal closely.
Therefore, the result of [tex]$2.35 \cdot \frac{2}{3}$[/tex] is [tex]$\frac{47}{30}$[/tex]. This matches the given answer choice [tex]$\frac{47}{30}$[/tex].
