Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Discover reliable and timely information on any topic from our network of knowledgeable professionals.
Sagot :
To find the quotient of [tex]\(\frac{2}{3} \div 5\)[/tex], we need to follow these steps:
1. Understand that dividing by 5 is the same as multiplying by the reciprocal of 5. The reciprocal of 5 is [tex]\(\frac{1}{5}\)[/tex].
2. Set up the multiplication with the reciprocal:
[tex]\[ \frac{2}{3} \div 5 = \frac{2}{3} \times \frac{1}{5} \][/tex]
3. Multiply the fractions. To multiply fractions, you multiply the numerators (the numbers on top) and the denominators (the numbers on bottom):
[tex]\[ \frac{2}{3} \times \frac{1}{5} = \frac{2 \times 1}{3 \times 5} = \frac{2}{15} \][/tex]
This implies that the quotient of [tex]\(\frac{2}{3} \div 5\)[/tex] is [tex]\(\frac{2}{15}\)[/tex].
Converting this fraction into a decimal, we calculate:
[tex]\[ \frac{2}{15} \approx 0.13333333333333333 \][/tex]
Thus, the quotient of [tex]\(\frac{2}{3} \div 5\)[/tex] is approximately [tex]\(0.1333\)[/tex] (repeating).
1. Understand that dividing by 5 is the same as multiplying by the reciprocal of 5. The reciprocal of 5 is [tex]\(\frac{1}{5}\)[/tex].
2. Set up the multiplication with the reciprocal:
[tex]\[ \frac{2}{3} \div 5 = \frac{2}{3} \times \frac{1}{5} \][/tex]
3. Multiply the fractions. To multiply fractions, you multiply the numerators (the numbers on top) and the denominators (the numbers on bottom):
[tex]\[ \frac{2}{3} \times \frac{1}{5} = \frac{2 \times 1}{3 \times 5} = \frac{2}{15} \][/tex]
This implies that the quotient of [tex]\(\frac{2}{3} \div 5\)[/tex] is [tex]\(\frac{2}{15}\)[/tex].
Converting this fraction into a decimal, we calculate:
[tex]\[ \frac{2}{15} \approx 0.13333333333333333 \][/tex]
Thus, the quotient of [tex]\(\frac{2}{3} \div 5\)[/tex] is approximately [tex]\(0.1333\)[/tex] (repeating).
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.