Answer :
To solve the problem [tex]\(1 \frac{14}{15} \times \frac{1}{3}\)[/tex], we can follow these steps:
1. Convert the Mixed Number to an Improper Fraction:
- The mixed number [tex]\(1 \frac{14}{15}\)[/tex] consists of a whole number and a fraction.
- To convert this mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator.
- In this case, [tex]\(1 \times 15 + 14 = 15 + 14 = 29\)[/tex].
- So, [tex]\(1 \frac{14}{15}\)[/tex] becomes [tex]\(\frac{29}{15}\)[/tex].
2. Multiply the Fractions:
- Now we need to multiply the improper fraction [tex]\(\frac{29}{15}\)[/tex] by [tex]\(\frac{1}{3}\)[/tex].
- To multiply fractions, multiply the numerators together and then multiply the denominators together.
- [tex]\(\frac{29}{15} \times \frac{1}{3} = \frac{29 \times 1}{15 \times 3} = \frac{29}{45}\)[/tex].
3. Convert the Result to a Decimal (optional):
- To understand or verify the result more easily, you might want to convert [tex]\(\frac{29}{45}\)[/tex] into a decimal.
- Divide 29 by 45 to find the decimal value: [tex]\(0.644444...\)[/tex]
So, the final result of [tex]\(1 \frac{14}{15} \times \frac{1}{3}\)[/tex] is [tex]\(\frac{29}{45}\)[/tex], which is approximately [tex]\(0.644\)[/tex] when rounded to three decimal places.
1. Convert the Mixed Number to an Improper Fraction:
- The mixed number [tex]\(1 \frac{14}{15}\)[/tex] consists of a whole number and a fraction.
- To convert this mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator.
- In this case, [tex]\(1 \times 15 + 14 = 15 + 14 = 29\)[/tex].
- So, [tex]\(1 \frac{14}{15}\)[/tex] becomes [tex]\(\frac{29}{15}\)[/tex].
2. Multiply the Fractions:
- Now we need to multiply the improper fraction [tex]\(\frac{29}{15}\)[/tex] by [tex]\(\frac{1}{3}\)[/tex].
- To multiply fractions, multiply the numerators together and then multiply the denominators together.
- [tex]\(\frac{29}{15} \times \frac{1}{3} = \frac{29 \times 1}{15 \times 3} = \frac{29}{45}\)[/tex].
3. Convert the Result to a Decimal (optional):
- To understand or verify the result more easily, you might want to convert [tex]\(\frac{29}{45}\)[/tex] into a decimal.
- Divide 29 by 45 to find the decimal value: [tex]\(0.644444...\)[/tex]
So, the final result of [tex]\(1 \frac{14}{15} \times \frac{1}{3}\)[/tex] is [tex]\(\frac{29}{45}\)[/tex], which is approximately [tex]\(0.644\)[/tex] when rounded to three decimal places.
