Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Discover comprehensive answers from knowledgeable members of our community, covering a wide range of topics to meet all your informational needs.
Sagot :
Certainly! Let's identify two fractions between each pair of given fractions step-by-step.
### a. Between [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex]
1. Convert [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{22}{45} \quad \text{and} \quad \frac{44}{45} \][/tex]
### b. Between [tex]\(\frac{7}{9}\)[/tex] and [tex]\(\frac{10}{23}\)[/tex]
1. Convert [tex]\(\frac{7}{9}\)[/tex] and [tex]\(\frac{10}{23}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{251}{621} \quad \text{and} \quad \frac{502}{621} \][/tex]
### c. Between [tex]\(\frac{1}{5}\)[/tex] and [tex]\(1 \frac{1}{5}\)[/tex] (which is [tex]\(\frac{6}{5}\)[/tex])
1. Convert [tex]\(\frac{1}{5}\)[/tex] and [tex]\(\frac{6}{5}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{7}{15} \quad \text{and} \quad \frac{14}{15} \][/tex]
### d. Between [tex]\(1 \frac{3}{7}\)[/tex] (which is [tex]\(\frac{10}{7}\)[/tex]) and [tex]\(5 \frac{5}{8}\)[/tex] (which is [tex]\(\frac{45}{8}\)[/tex])
1. Convert [tex]\(1 \frac{3}{7}\)[/tex] and [tex]\(5 \frac{5}{8}\)[/tex] to improper fractions: [tex]\(\frac{10}{7}\)[/tex] and [tex]\(\frac{45}{8}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{395}{168} \quad \text{and} \quad \frac{395}{84} \][/tex]
### e. Between [tex]\(1 \frac{1}{3}\)[/tex] (which is [tex]\(\frac{4}{3}\)[/tex]) and [tex]\(2 \frac{1}{2}\)[/tex] (which is [tex]\(\frac{5}{2}\)[/tex])
1. Convert [tex]\(1 \frac{1}{3}\)[/tex] and [tex]\(2 \frac{1}{2}\)[/tex] to improper fractions: [tex]\(\frac{4}{3}\)[/tex] and [tex]\(\frac{5}{2}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{23}{18} \quad \text{and} \quad \frac{23}{9} \][/tex]
### f. Between [tex]\(5 \frac{1}{5}\)[/tex] (which is [tex]\(\frac{26}{5}\)[/tex]) and [tex]\(5 \frac{1}{10}\)[/tex] (which is [tex]\(\frac{51}{10}\)[/tex])
1. Convert [tex]\(5 \frac{1}{5}\)[/tex] and [tex]\(5 \frac{1}{10}\)[/tex] to improper fractions: [tex]\(\frac{26}{5}\)[/tex] and [tex]\(\frac{51}{10}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{103}{30} \quad \text{and} \quad \frac{103}{15} \][/tex]
These are the two fractions between each of the given pairs.
### a. Between [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex]
1. Convert [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{22}{45} \quad \text{and} \quad \frac{44}{45} \][/tex]
### b. Between [tex]\(\frac{7}{9}\)[/tex] and [tex]\(\frac{10}{23}\)[/tex]
1. Convert [tex]\(\frac{7}{9}\)[/tex] and [tex]\(\frac{10}{23}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{251}{621} \quad \text{and} \quad \frac{502}{621} \][/tex]
### c. Between [tex]\(\frac{1}{5}\)[/tex] and [tex]\(1 \frac{1}{5}\)[/tex] (which is [tex]\(\frac{6}{5}\)[/tex])
1. Convert [tex]\(\frac{1}{5}\)[/tex] and [tex]\(\frac{6}{5}\)[/tex] to fractions with a common denominator (optional).
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{7}{15} \quad \text{and} \quad \frac{14}{15} \][/tex]
### d. Between [tex]\(1 \frac{3}{7}\)[/tex] (which is [tex]\(\frac{10}{7}\)[/tex]) and [tex]\(5 \frac{5}{8}\)[/tex] (which is [tex]\(\frac{45}{8}\)[/tex])
1. Convert [tex]\(1 \frac{3}{7}\)[/tex] and [tex]\(5 \frac{5}{8}\)[/tex] to improper fractions: [tex]\(\frac{10}{7}\)[/tex] and [tex]\(\frac{45}{8}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{395}{168} \quad \text{and} \quad \frac{395}{84} \][/tex]
### e. Between [tex]\(1 \frac{1}{3}\)[/tex] (which is [tex]\(\frac{4}{3}\)[/tex]) and [tex]\(2 \frac{1}{2}\)[/tex] (which is [tex]\(\frac{5}{2}\)[/tex])
1. Convert [tex]\(1 \frac{1}{3}\)[/tex] and [tex]\(2 \frac{1}{2}\)[/tex] to improper fractions: [tex]\(\frac{4}{3}\)[/tex] and [tex]\(\frac{5}{2}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{23}{18} \quad \text{and} \quad \frac{23}{9} \][/tex]
### f. Between [tex]\(5 \frac{1}{5}\)[/tex] (which is [tex]\(\frac{26}{5}\)[/tex]) and [tex]\(5 \frac{1}{10}\)[/tex] (which is [tex]\(\frac{51}{10}\)[/tex])
1. Convert [tex]\(5 \frac{1}{5}\)[/tex] and [tex]\(5 \frac{1}{10}\)[/tex] to improper fractions: [tex]\(\frac{26}{5}\)[/tex] and [tex]\(\frac{51}{10}\)[/tex].
2. Calculate fractions between these two.
3. The resulting two fractions are:
[tex]\[ \frac{103}{30} \quad \text{and} \quad \frac{103}{15} \][/tex]
These are the two fractions between each of the given pairs.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.
