Answer :
To solve the problem of multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex], we need to follow these steps:
1. Multiply the Decimal and the Fraction:
- Begin by multiplying the decimal number 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Result of Multiplication:
- The product of 2.35 and [tex]\(\frac{2}{3}\)[/tex] is approximately 1.5666666667.
3. Convert the Decimal to a Fraction:
- To express this decimal as a fraction, we need to simplify it to a fraction. The simplified form is [tex]\(\frac{47}{30}\)[/tex].
Given the options:
- [tex]\(\frac{7}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]
- [tex]\(\frac{47}{30}\)[/tex]
The correct answer is [tex]\(\frac{47}{30}\)[/tex].
1. Multiply the Decimal and the Fraction:
- Begin by multiplying the decimal number 2.35 by the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Result of Multiplication:
- The product of 2.35 and [tex]\(\frac{2}{3}\)[/tex] is approximately 1.5666666667.
3. Convert the Decimal to a Fraction:
- To express this decimal as a fraction, we need to simplify it to a fraction. The simplified form is [tex]\(\frac{47}{30}\)[/tex].
Given the options:
- [tex]\(\frac{7}{30}\)[/tex]
- [tex]\(\frac{7}{15}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]
- [tex]\(\frac{47}{30}\)[/tex]
The correct answer is [tex]\(\frac{47}{30}\)[/tex].
