Question

1. $\frac{2 days}{16 hours}$
2. $\frac{13 weeks}{1 year}$
3. $\frac{15 seconds}{2 minutes}$
4. $\frac{2 hours}{40 minutes}$
5. $\frac{3 days}{3 weeks}$
6. $\frac{9 inches}{2 feet}$
7. $\frac{2 feet}{5 yards}$
8. $\frac{20 inches}{2 yards}$
9. $\frac{3 yards}{21 inches}$
10. $\frac{16 inches}{3 feet}$

Explanation:

Step1: Convert units to the same - 1

Recall 1 day = 24 hours. So 2 days = 2×24 = 48 hours. Then $\frac{2\ days}{16\ hours}=\frac{48\ hours}{16\ hours}=3$.

Step2: Convert units to the same - 2

Recall 1 year = 52 weeks. Then $\frac{13\ weeks}{1\ year}=\frac{13\ weeks}{52\ weeks}=\frac{1}{4}$.

Step3: Convert units to the same - 3

Recall 1 minute = 60 seconds. So 2 minutes = 2×60 = 120 seconds. Then $\frac{15\ seconds}{2\ minutes}=\frac{15\ seconds}{120\ seconds}=\frac{1}{8}$.

Step4: Convert units to the same - 4

Recall 1 hour = 60 minutes. So 2 hours = 2×60 = 120 minutes. Then $\frac{2\ hours}{40\ minutes}=\frac{120\ minutes}{40\ minutes}=3$.

Step5: Convert units to the same - 5

Recall 1 week = 7 days. So 3 weeks = 3×7 = 21 days. Then $\frac{3\ days}{3\ weeks}=\frac{3\ days}{21\ days}=\frac{1}{7}$.

Step6: Convert units to the same - 6

Recall 1 foot = 12 inches. So 2 feet = 2×12 = 24 inches. Then $\frac{9\ inches}{2\ feet}=\frac{9\ inches}{24\ inches}=\frac{3}{8}$.

Step7: Convert units to the same - 7

Recall 1 yard = 3 feet. So 5 yards = 5×3 = 15 feet. Then $\frac{2\ feet}{5\ yards}=\frac{2\ feet}{15\ feet}=\frac{2}{15}$.

Step8: Convert units to the same - 8

Recall 1 yard = 36 inches. So 2 yards = 2×36 = 72 inches. Then $\frac{20\ inches}{2\ yards}=\frac{20\ inches}{72\ inches}=\frac{5}{18}$.

Step9: Convert units to the same - 9

Recall 1 yard = 36 inches. So 3 yards = 3×36 = 108 inches. Then $\frac{3\ yards}{21\ inches}=\frac{108\ inches}{21\ inches}=\frac{36}{7}$.

Step10: Convert units to the same - 10

Recall 1 foot = 12 inches. So 3 feet = 3×12 = 36 inches. Then $\frac{16\ inches}{3\ feet}=\frac{16\ inches}{36\ inches}=\frac{4}{9}$.

Answer:

1. 3
2. $\frac{1}{4}$
3. $\frac{1}{8}$
4. 3
5. $\frac{1}{7}$
6. $\frac{3}{8}$
7. $\frac{2}{15}$
8. $\frac{5}{18}$
9. $\frac{36}{7}$
10. $\frac{4}{9}$