0000:00:00:00:00Start11Number 11ExplanationWhich of the following statements is true?37>13\frac{3}{7} > \frac{1}{3}73>3115>29\frac{1}{5} > \frac{2}{9}51>9223>78\frac{2}{3} > \frac{7}{8}32>8735>56\frac{3}{5} > \frac{5}{6}53>6559>34\frac{5}{9} > \frac{3}{4}95>43ExplanationWe verify each statement by converting the fractions into decimals. Statement: 37>13\frac{3}{7} > \frac{1}{3}73>31 37≈0.43\frac{3}{7} \approx 0.4373≈0.4313≈0.33\frac{1}{3} \approx 0.3331≈0.330.43>0.33(Correct)0.43 > 0.33 \quad (\text{Correct})0.43>0.33(Correct) Statement: 15>29\frac{1}{5} > \frac{2}{9}51>92 15=0.20\frac{1}{5} = 0.2051=0.2029≈0.22\frac{2}{9} \approx 0.2292≈0.220.20>0.22(Incorrect)0.20 > 0.22 \quad (\text{Incorrect})0.20>0.22(Incorrect) Statement: 23>78\frac{2}{3} > \frac{7}{8}32>87 23≈0.67\frac{2}{3} \approx 0.6732≈0.6778=0.875\frac{7}{8} = 0.87587=0.8750.67>0.875(Incorrect)0.67 > 0.875 \quad (\text{Incorrect})0.67>0.875(Incorrect) Statement: 35>56\frac{3}{5} > \frac{5}{6}53>65 35=0.60\frac{3}{5} = 0.6053=0.6056≈0.83\frac{5}{6} \approx 0.8365≈0.830.60>0.83(Incorrect)0.60 > 0.83 \quad (\text{Incorrect})0.60>0.83(Incorrect) Statement: 59>34\frac{5}{9} > \frac{3}{4}95>43 59≈0.55\frac{5}{9} \approx 0.5595≈0.5534=0.75\frac{3}{4} = 0.7543=0.750.55>0.75(Incorrect)0.55 > 0.75 \quad (\text{Incorrect})0.55>0.75(Incorrect) Thus, the correct statement is 37>13\frac{3}{7} > \frac{1}{3}73>31.
11Number 11ExplanationWhich of the following statements is true?37>13\frac{3}{7} > \frac{1}{3}73>3115>29\frac{1}{5} > \frac{2}{9}51>9223>78\frac{2}{3} > \frac{7}{8}32>8735>56\frac{3}{5} > \frac{5}{6}53>6559>34\frac{5}{9} > \frac{3}{4}95>43ExplanationWe verify each statement by converting the fractions into decimals. Statement: 37>13\frac{3}{7} > \frac{1}{3}73>31 37≈0.43\frac{3}{7} \approx 0.4373≈0.4313≈0.33\frac{1}{3} \approx 0.3331≈0.330.43>0.33(Correct)0.43 > 0.33 \quad (\text{Correct})0.43>0.33(Correct) Statement: 15>29\frac{1}{5} > \frac{2}{9}51>92 15=0.20\frac{1}{5} = 0.2051=0.2029≈0.22\frac{2}{9} \approx 0.2292≈0.220.20>0.22(Incorrect)0.20 > 0.22 \quad (\text{Incorrect})0.20>0.22(Incorrect) Statement: 23>78\frac{2}{3} > \frac{7}{8}32>87 23≈0.67\frac{2}{3} \approx 0.6732≈0.6778=0.875\frac{7}{8} = 0.87587=0.8750.67>0.875(Incorrect)0.67 > 0.875 \quad (\text{Incorrect})0.67>0.875(Incorrect) Statement: 35>56\frac{3}{5} > \frac{5}{6}53>65 35=0.60\frac{3}{5} = 0.6053=0.6056≈0.83\frac{5}{6} \approx 0.8365≈0.830.60>0.83(Incorrect)0.60 > 0.83 \quad (\text{Incorrect})0.60>0.83(Incorrect) Statement: 59>34\frac{5}{9} > \frac{3}{4}95>43 59≈0.55\frac{5}{9} \approx 0.5595≈0.5534=0.75\frac{3}{4} = 0.7543=0.750.55>0.75(Incorrect)0.55 > 0.75 \quad (\text{Incorrect})0.55>0.75(Incorrect) Thus, the correct statement is 37>13\frac{3}{7} > \frac{1}{3}73>31.
