Answer :
Sure! Let's compare the given fractions step by step:
7. Compare [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{2}{10}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{3}{4} = 0.75\)[/tex], [tex]\(\frac{2}{10} = 0.2\)[/tex].
- Since [tex]\(0.75 > 0.2\)[/tex], we have [tex]\(\frac{3}{4} > \frac{2}{10}\)[/tex].
8. Compare [tex]\(\frac{4}{12}\)[/tex] and [tex]\(\frac{7}{10}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{4}{12} \approx 0.333\)[/tex], [tex]\(\frac{7}{10} = 0.7\)[/tex].
- Since [tex]\(0.333 < 0.7\)[/tex], we have [tex]\(\frac{4}{12} < \frac{7}{10}\)[/tex].
9. Compare [tex]\(\frac{5}{10}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{5}{10} = 0.5\)[/tex], [tex]\(\frac{1}{2} = 0.5\)[/tex].
- Since [tex]\(0.5 = 0.5\)[/tex], we have [tex]\(\frac{5}{10} = \frac{1}{2}\)[/tex].
10. Compare [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{7}{3}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{3}{8} = 0.375\)[/tex], [tex]\(\frac{7}{3} \approx 2.333\)[/tex].
- Since [tex]\(0.375 < 2.333\)[/tex], we have [tex]\(\frac{3}{8} < \frac{7}{3}\)[/tex].
12. Compare [tex]\(\frac{15}{12}\)[/tex] and [tex]\(\frac{5}{6}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{15}{12} \approx 1.25\)[/tex], [tex]\(\frac{5}{6} \approx 0.833\)[/tex].
- Since [tex]\(1.25 > 0.833\)[/tex], we have [tex]\(\frac{15}{12} > \frac{5}{6}\)[/tex].
13. Compare [tex]\(\frac{5}{5}\)[/tex] and [tex]\(1\)[/tex]:
- Convert the fraction to a decimal: [tex]\(\frac{5}{5} = 1\)[/tex].
- Since [tex]\(1 = 1\)[/tex], we have [tex]\(\frac{5}{5} = 1\)[/tex].
14. Compare [tex]\(\frac{4}{6}\)[/tex] and [tex]\(\frac{3}{5}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{4}{6} \approx 0.667\)[/tex], [tex]\(\frac{3}{5} = 0.6\)[/tex].
- Since [tex]\(0.667 > 0.6\)[/tex], we have [tex]\(\frac{4}{6} > \frac{3}{5}\)[/tex].
16. Compare [tex]\(\frac{5}{8}\)[/tex] and [tex]\(\frac{6}{12}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{5}{8} = 0.625\)[/tex], [tex]\(\frac{6}{12} = 0.5\)[/tex].
- Since [tex]\(0.625 > 0.5\)[/tex], we have [tex]\(\frac{5}{8} > \frac{6}{12}\)[/tex].
17. Compare [tex]\(\frac{48}{12}\)[/tex] and [tex]\(\frac{10}{5}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{48}{12} = 4\)[/tex], [tex]\(\frac{10}{5} = 2\)[/tex].
- Since [tex]\(4 = 4\)[/tex], we have [tex]\(\frac{48}{12} = \frac{10}{5}\)[/tex].
18. Compare [tex]\(\frac{9}{12}\)[/tex] and [tex]\(\frac{9}{12}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{9}{12} = 0.75\)[/tex].
- Since [tex]\(0.75 = 0.75\)[/tex], we have [tex]\(\frac{9}{12} = \frac{9}{12}\)[/tex].
I hope this helps! If you have any questions, feel free to ask.
7. Compare [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{2}{10}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{3}{4} = 0.75\)[/tex], [tex]\(\frac{2}{10} = 0.2\)[/tex].
- Since [tex]\(0.75 > 0.2\)[/tex], we have [tex]\(\frac{3}{4} > \frac{2}{10}\)[/tex].
8. Compare [tex]\(\frac{4}{12}\)[/tex] and [tex]\(\frac{7}{10}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{4}{12} \approx 0.333\)[/tex], [tex]\(\frac{7}{10} = 0.7\)[/tex].
- Since [tex]\(0.333 < 0.7\)[/tex], we have [tex]\(\frac{4}{12} < \frac{7}{10}\)[/tex].
9. Compare [tex]\(\frac{5}{10}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{5}{10} = 0.5\)[/tex], [tex]\(\frac{1}{2} = 0.5\)[/tex].
- Since [tex]\(0.5 = 0.5\)[/tex], we have [tex]\(\frac{5}{10} = \frac{1}{2}\)[/tex].
10. Compare [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{7}{3}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{3}{8} = 0.375\)[/tex], [tex]\(\frac{7}{3} \approx 2.333\)[/tex].
- Since [tex]\(0.375 < 2.333\)[/tex], we have [tex]\(\frac{3}{8} < \frac{7}{3}\)[/tex].
12. Compare [tex]\(\frac{15}{12}\)[/tex] and [tex]\(\frac{5}{6}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{15}{12} \approx 1.25\)[/tex], [tex]\(\frac{5}{6} \approx 0.833\)[/tex].
- Since [tex]\(1.25 > 0.833\)[/tex], we have [tex]\(\frac{15}{12} > \frac{5}{6}\)[/tex].
13. Compare [tex]\(\frac{5}{5}\)[/tex] and [tex]\(1\)[/tex]:
- Convert the fraction to a decimal: [tex]\(\frac{5}{5} = 1\)[/tex].
- Since [tex]\(1 = 1\)[/tex], we have [tex]\(\frac{5}{5} = 1\)[/tex].
14. Compare [tex]\(\frac{4}{6}\)[/tex] and [tex]\(\frac{3}{5}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{4}{6} \approx 0.667\)[/tex], [tex]\(\frac{3}{5} = 0.6\)[/tex].
- Since [tex]\(0.667 > 0.6\)[/tex], we have [tex]\(\frac{4}{6} > \frac{3}{5}\)[/tex].
16. Compare [tex]\(\frac{5}{8}\)[/tex] and [tex]\(\frac{6}{12}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{5}{8} = 0.625\)[/tex], [tex]\(\frac{6}{12} = 0.5\)[/tex].
- Since [tex]\(0.625 > 0.5\)[/tex], we have [tex]\(\frac{5}{8} > \frac{6}{12}\)[/tex].
17. Compare [tex]\(\frac{48}{12}\)[/tex] and [tex]\(\frac{10}{5}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{48}{12} = 4\)[/tex], [tex]\(\frac{10}{5} = 2\)[/tex].
- Since [tex]\(4 = 4\)[/tex], we have [tex]\(\frac{48}{12} = \frac{10}{5}\)[/tex].
18. Compare [tex]\(\frac{9}{12}\)[/tex] and [tex]\(\frac{9}{12}\)[/tex]:
- Convert the fractions to decimals: [tex]\(\frac{9}{12} = 0.75\)[/tex].
- Since [tex]\(0.75 = 0.75\)[/tex], we have [tex]\(\frac{9}{12} = \frac{9}{12}\)[/tex].
I hope this helps! If you have any questions, feel free to ask.
