Answer :
To solve the problem [tex]\(2.35 \cdot \frac{2}{3}\)[/tex], follow these steps:
1. Convert the Decimal to Fraction Form:
- Start with the whole number and the fractional part separately. [tex]\(2.35\)[/tex] can be split into [tex]\(2 + 0.35\)[/tex].
2. Multiply the Fractional Part by [tex]\(\frac{2}{3}\)[/tex]:
- Multiply the fractional part [tex]\(0.35\)[/tex] by [tex]\(\frac{2}{3}\)[/tex].
3. Simplify the Calculation:
- First, calculate [tex]\(0.35 \times \frac{2}{3}\)[/tex].
- To make it easier to understand, convert [tex]\(0.35\)[/tex] to a fraction. Note that [tex]\(0.35 = \frac{35}{100}\)[/tex].
- Then multiply: [tex]\(\frac{35}{100} \times \frac{2}{3}\)[/tex].
4. Handle the Multiplication:
- Multiply the numerators: [tex]\(35 \times 2 = 70\)[/tex].
- Multiply the denominators: [tex]\(100 \times 3 = 300\)[/tex].
- So, the result is [tex]\(\frac{70}{300}\)[/tex].
5. Simplify the Fraction:
- Simplify [tex]\(\frac{70}{300}\)[/tex] to its lowest terms.
- Divide both numerator and denominator by their greatest common divisor, which is 10.
- Simplified, [tex]\(\frac{70}{300} = \frac{7}{30}\)[/tex].
Thus, the result of the multiplication [tex]\(2.35 \cdot \frac{2}{3}\)[/tex] gives you [tex]\(\frac{7}{30}\)[/tex].
1. Convert the Decimal to Fraction Form:
- Start with the whole number and the fractional part separately. [tex]\(2.35\)[/tex] can be split into [tex]\(2 + 0.35\)[/tex].
2. Multiply the Fractional Part by [tex]\(\frac{2}{3}\)[/tex]:
- Multiply the fractional part [tex]\(0.35\)[/tex] by [tex]\(\frac{2}{3}\)[/tex].
3. Simplify the Calculation:
- First, calculate [tex]\(0.35 \times \frac{2}{3}\)[/tex].
- To make it easier to understand, convert [tex]\(0.35\)[/tex] to a fraction. Note that [tex]\(0.35 = \frac{35}{100}\)[/tex].
- Then multiply: [tex]\(\frac{35}{100} \times \frac{2}{3}\)[/tex].
4. Handle the Multiplication:
- Multiply the numerators: [tex]\(35 \times 2 = 70\)[/tex].
- Multiply the denominators: [tex]\(100 \times 3 = 300\)[/tex].
- So, the result is [tex]\(\frac{70}{300}\)[/tex].
5. Simplify the Fraction:
- Simplify [tex]\(\frac{70}{300}\)[/tex] to its lowest terms.
- Divide both numerator and denominator by their greatest common divisor, which is 10.
- Simplified, [tex]\(\frac{70}{300} = \frac{7}{30}\)[/tex].
Thus, the result of the multiplication [tex]\(2.35 \cdot \frac{2}{3}\)[/tex] gives you [tex]\(\frac{7}{30}\)[/tex].
