IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.
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 presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.