Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To solve the problem of finding \(1 \frac{2}{5}\) of \(4 \frac{2}{7} \text{ km}\), we can follow these steps:
1. Convert Mixed Numbers to Improper Fractions:
- For \(1 \frac{2}{5}\):
- The whole number part is \(1\).
- The fractional part is \(\frac{2}{5}\).
- To convert \(1 \frac{2}{5}\) to an improper fraction, we multiply the whole number by the denominator and add the numerator:
[tex]\[ 1 \cdot 5 + 2 = 5 + 2 = 7 \][/tex]
Thus, \(1 \frac{2}{5} = \frac{7}{5}\).
- For \(4 \frac{2}{7}\):
- The whole number part is \(4\).
- The fractional part is \(\frac{2}{7}\).
- To convert \(4 \frac{2}{7}\) to an improper fraction, we multiply the whole number by the denominator and add the numerator:
[tex]\[ 4 \cdot 7 + 2 = 28 + 2 = 30 \][/tex]
Thus, \(4 \frac{2}{7} = \frac{30}{7}\).
2. Multiply the Improper Fractions:
- Now multiply the two improper fractions \(\frac{7}{5}\) (for \(1 \frac{2}{5}\)) and \(\frac{30}{7}\) (for \(4 \frac{2}{7}\)):
[tex]\[ \frac{7}{5} \times \frac{30}{7} \][/tex]
- To multiply these fractions, multiply the numerators and then the denominators:
[tex]\[ \frac{7 \times 30}{5 \times 7} = \frac{210}{35} \][/tex]
3. Result:
- The product of \(1 \frac{2}{5}\) and \(4 \frac{2}{7}\) is \(\frac{210}{35}\).
Given the calculation, the improper fractions are \(\frac{7}{5}\) and \(\frac{30}{7}\), and their product is \(\frac{210}{35}\).
Thus, \(1 \frac{2}{5}\) of \(4 \frac{2}{7} \text{ km}\) is \(\frac{210}{35} \text{ km}\).
This should conclude the detailed, step-by-step solution to finding [tex]\(1 \frac{2}{5}\)[/tex] of [tex]\(4 \frac{2}{7} \text{ km}\)[/tex].
1. Convert Mixed Numbers to Improper Fractions:
- For \(1 \frac{2}{5}\):
- The whole number part is \(1\).
- The fractional part is \(\frac{2}{5}\).
- To convert \(1 \frac{2}{5}\) to an improper fraction, we multiply the whole number by the denominator and add the numerator:
[tex]\[ 1 \cdot 5 + 2 = 5 + 2 = 7 \][/tex]
Thus, \(1 \frac{2}{5} = \frac{7}{5}\).
- For \(4 \frac{2}{7}\):
- The whole number part is \(4\).
- The fractional part is \(\frac{2}{7}\).
- To convert \(4 \frac{2}{7}\) to an improper fraction, we multiply the whole number by the denominator and add the numerator:
[tex]\[ 4 \cdot 7 + 2 = 28 + 2 = 30 \][/tex]
Thus, \(4 \frac{2}{7} = \frac{30}{7}\).
2. Multiply the Improper Fractions:
- Now multiply the two improper fractions \(\frac{7}{5}\) (for \(1 \frac{2}{5}\)) and \(\frac{30}{7}\) (for \(4 \frac{2}{7}\)):
[tex]\[ \frac{7}{5} \times \frac{30}{7} \][/tex]
- To multiply these fractions, multiply the numerators and then the denominators:
[tex]\[ \frac{7 \times 30}{5 \times 7} = \frac{210}{35} \][/tex]
3. Result:
- The product of \(1 \frac{2}{5}\) and \(4 \frac{2}{7}\) is \(\frac{210}{35}\).
Given the calculation, the improper fractions are \(\frac{7}{5}\) and \(\frac{30}{7}\), and their product is \(\frac{210}{35}\).
Thus, \(1 \frac{2}{5}\) of \(4 \frac{2}{7} \text{ km}\) is \(\frac{210}{35} \text{ km}\).
This should conclude the detailed, step-by-step solution to finding [tex]\(1 \frac{2}{5}\)[/tex] of [tex]\(4 \frac{2}{7} \text{ km}\)[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.