Question

Express the following percentages as ratios in the reduced form.
(i) 75 : 100 (ii) 44 : 100 (iii) 6.25% (iv) 52 : 100 (v) 0.64%

Answer 1

Answer:

i. 3:4

II. 11:25

III.1:16

iv.13:25

v. 4:625

Answer 2

Answer:

i) 3:4

ii) 11:25

iii) 1:16

iv) 13:25

v) 4:625

Step-by-step explanation:

i)

75:100 =

$\frac{75}{100}$

Divide both numerator (upper one) and denominator (lower one) by 25.

$\frac{75}{ 100} = \frac{3}{4}$

therefore 75:100 = 3:4

ii)

44:100 =

$\frac{44}{ 100}$

Divide both numerator (upper one) and denominator (lower one) by 4.

$\frac{44}{100} = \frac{11}{25}$

therefore, 44:100 = 11:25

iii)

6.25% means

$6.25 \times \frac{1}{100}$

now to remove decimal we have to divide 625 by 100 here,

$\frac{625}{ 100} \times \frac{1}{100}$

Divide both numerator (upper one) and denominator (lower one) by 25.

$\frac{625}{100} \times \frac{1}{100} = \frac{25}{4} \times \frac{1}{4} = \frac{25}{16}$

therefore, 6.25% = 25:16

iv) 52:100 =

$\frac{52}{100}$

Divide both numerator (upper one) and denominator (lower one) by 4.

$\frac{52}{100} = \frac{13}{25}$

therefore, 52:100 = 13:25

v) 0.64% means

$0.64 \times \frac{1}{100}$

now to remove decimal we have to divide 0.64 by 100 here,

Divide both numerator (upper one) and denominator (lower one) by 4.

$\frac{64}{100} \times \frac{1}{100} = \frac{16}{25} \times \frac{1}{100} \\ = \frac{4}{25} \times \frac{1}{25} = \frac{4}{625}$

therefore, 0.64% = 4:625