Question

Q3. Find the ratio of the following :
a) 63 to 45
b) 256 to 512
c) 66 km to 121 km
d) 3 minutes to 45 minutes
e) ½ hour to 45 minutes
f) 1cm to 10 mm
g) 24 days to 3 weeks
h) 100 ml to 2 litre
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Answer 1

Step-by-step explanation:

$a) \: \: \: 63 : 45 \\ \: \: = \frac{63}{9} : \frac{45}{9} \\ \: \: = \underline{ \underline{7 : 5}} \\ \\ b) \: \: \: 256 : 512 \\ \: \: = \frac{256}{8} : \frac{512}{8} \\ \: \: = 32 : 64 \\ \: \: = \frac{32}{8} : \frac{64}{8} \\ \: \: = 4 : 8 \\ \: \: = \frac{4}{4} : \frac{8}{4} \\ \: = \underline{ \underline{1 : 2}} \\ \\ c) \: \: \: 66 \: km : 121 \:km \\ \: \: = \frac{66}{11} : \frac{121}{11} \\ \: \: = \underline{ \underline{6 : 11}} \\ \\ d) \: \: \: 3 \: \: minutes \: \: to \: \: 45 \: \: minutes \\ \: \: \: \: 3 : 45 \\ = \frac{3}{3} : \frac{45}{3} \\ = \underline{ \underline{1 : 15}} \\ \\ e) \: \: \: ½ \: \: hour \: \: to \: \: 45 \: \: minutes \\ 1 \: \: hour = 60 \: \: minutes \\ ½ \: \: hour = 30 \: \: minutes \\ ½ \: \: hour : 45 \: \: minutes \\ = 30 : 45 \\ = \frac{30}{15} : \frac{45}{15} \\ \: = \underline{ \underline{2 : 3}} \\ \\ f) \: \: \: 1 \: cm \: \: to \: \: 10 \: mm \\ \: \: 1 \: cm = 10 \: mm \\ 1 \: cm : 10 \: mm \\ =\underline{ \underline{1 : 1}} \\ \\ g) \: \: \: 24 \: \: days \: \: to \: \: 3 \: \: weeks \\ 1 \: \: week = 7 \: \: days \\ 3 \: \: weeks \\ ▶ \: 7 \times 3 = 21 \: \: days \\ 24 \: \: days : 3 \: \: weeks \\ = 24 \: \: days : 21 \: \: days \\ \: \: \: \: 24 : 21 \\ = \frac{24}{3} : \frac{21}{3} \\ = \underline{ \underline{8 : 7}} \\ \\ h) \: \: \: 100 \: ml \: \: to \: \: 2 \: \: litre \\ 1 \: \: litre = 1000 \: ml \\ 2 \: \: litre = 2000 \: ml \\ 100 \: ml : 2 \: \: litre \\ 100 \: ml : 2000 \: ml \\ = \frac{100}{100} : \frac{2000}{100} \\ = \underline{ \underline{1 : 20}}$