1.
Find the ratio of the following in the simplest form
a. 10 seconds to 10 minute
b. 28 to 35
c. 2cm to 1m
d. 30p to Rs. 3

Respuesta :

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

Learn more about ratio at:

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