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Answer :
To solve [tex]\(2.35 \times \frac{2}{3}\)[/tex], we'll first convert the decimal number into a fraction and then multiply.
1. Convert the decimal to a fraction:
- The number 2.35 can be written as [tex]\(\frac{235}{100}\)[/tex]. This is because 2.35 is the same as 235 divided by 100.
2. Multiply the fractions:
- Now, multiply [tex]\(\frac{235}{100}\)[/tex] by [tex]\(\frac{2}{3}\)[/tex]:
[tex]\[
\frac{235}{100} \times \frac{2}{3} = \frac{235 \times 2}{100 \times 3} = \frac{470}{300}
\][/tex]
3. Simplify the fraction:
- To simplify [tex]\(\frac{470}{300}\)[/tex], we need to find the greatest common divisor (GCD) of 470 and 300, which is 10.
- Divide the numerator and the denominator by 10:
[tex]\[
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}
\][/tex]
Therefore, the result of multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex] is [tex]\(\frac{47}{30}\)[/tex].
1. Convert the decimal to a fraction:
- The number 2.35 can be written as [tex]\(\frac{235}{100}\)[/tex]. This is because 2.35 is the same as 235 divided by 100.
2. Multiply the fractions:
- Now, multiply [tex]\(\frac{235}{100}\)[/tex] by [tex]\(\frac{2}{3}\)[/tex]:
[tex]\[
\frac{235}{100} \times \frac{2}{3} = \frac{235 \times 2}{100 \times 3} = \frac{470}{300}
\][/tex]
3. Simplify the fraction:
- To simplify [tex]\(\frac{470}{300}\)[/tex], we need to find the greatest common divisor (GCD) of 470 and 300, which is 10.
- Divide the numerator and the denominator by 10:
[tex]\[
\frac{470 \div 10}{300 \div 10} = \frac{47}{30}
\][/tex]
Therefore, the result of multiplying 2.35 by [tex]\(\frac{2}{3}\)[/tex] is [tex]\(\frac{47}{30}\)[/tex].
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