a. The simplest form is 1:60
b. The simplest form is 4:5
c. The simplest form is 1:50
d. The simplest form is 1:10
Step-by-step explanation:
a. 10 seconds to 10 minute
First we will convert the values in to same units for finding ratio.
Therefore;
one minute = 60 seconds
10 minutes = 60*10 = 600 seconds
Ratio;
[tex]10:600[/tex]
Dividing both by 10
[tex]\frac{10}{10}:\frac{600}{10}\\1:60[/tex]
The simplest form is 1:60
b. 28 to 35
Ratio;
28:35
As both are multiples of 7, therefore dividing by 7
[tex]\frac{28}{7}:\frac{35}{7}\\4:5[/tex]
The simplest form is 4:5
c. 2cm to 1m
Converting in same units
1 m = 100 cm
Ratio;
2 : 100
Dividing by 2
[tex]\frac{2}{2}:\frac{100}{2}\\1:50[/tex]
The simplest form is 1:50
d. 30p to Rs. 3
Converting in same units
1 Rs. = 100 p
3 Rs. = 100*3 = 300p
Ratio;
30:300
Dividing both by 30
[tex]\frac{30}{30}:\frac{300}{30}\\1:10[/tex]
The simplest form is 1:10
Keywords: ratio, conversion
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