Question

Solution- To change any number to percentage, we have to

multiply that number by 100,

Q1. Write each of the following as percentage.

(a) 7/25 (b) 14/625 (c) 5/8 (d) 3/25

(e) 111/125 (f) 92/100 ​

Answer 1

Answer:

(a) 28%

(b) 2.24%

(c) 62.4%

(d) 12%

(e) 88.8%

(f) 92%

Step-by-step explanation:

To change any number to percentage, we have to multiply that number by 100.

$(a) \frac{7}{25} \\ \\ = \frac{7}{25} \times 100 \\ \\ = 7 \times 4 \\ \\ = 28\%$

$(b) \frac{14}{625} \\ \\ = \frac{14}{625} \times 100 \\ \\ = \frac{14}{25} \times 4 \\ \\ = \frac{56}{25} \\ \\ = \frac{56 \times 4}{25 \times 4} \\ \\ = \frac{224}{100} \\ \\ = 2.24\%$

$(c) \frac{5}{8} \\ \\ = \frac{5}{8} \times 100 \\ \\ = \frac{5}{2} \times 25 \\ \\ = \frac{125}{2} \\ \\ = 62.5 \%$

$(d) \frac{3}{25} \\ \\ = \frac{3}{25} \times 100 \\ \\ = 3 \times 4 \\ \\ = 12\%$

$(e ) \frac{111}{125} \\ \\ = \frac{111}{125} \times 100 \\ \\ = \frac{111}{5} \times 4 \\ \\ = \frac{444}{5} \\ \\ = \frac{444 \times 2}{5 \times 2} \\ \\ = \frac{888}{10} \\ \\ = 88.8\%$

$(f) \frac{92}{100} \\ \\ = \frac{92}{100} \times 100 \\ \\ = 92 \times 1 \\ \\ = 92\%$

Answer 2

Answer:

$\textsf{Write each of the following as percentage.}$

$\sf a)\:\:\dfrac{7}{25}\\\\\\:\implies\sf \dfrac{7}{25} \times 100\\\\\\:\implies\sf 7 \times 4\\\\\\:\implies\sf 28\%$

$\rule{120}{1.5}$

$\sf b)\:\:\dfrac{14}{625}\\\\\\:\implies\sf \dfrac{14}{625} \times 100\\\\\\:\implies\sf \dfrac{14}{25} \times 4\\\\\\:\implies\sf \dfrac{56}{25}\\\\\\:\implies\sf2\dfrac{6}{25} \%$

$\rule{120}{1.5}$

$\sf c)\:\:\dfrac{5}{8}\\\\\\:\implies\sf \dfrac{5}{8} \times 100\\\\\\:\implies\sf \dfrac{5}{2} \times 25\\\\\\:\implies\sf \dfrac{125}{2} \\\\\\:\implies\sf 62 \dfrac{1}{2} \%$

$\rule{120}{1.5}$

$\sf d)\:\:\dfrac{3}{25}\\\\\\:\implies\sf \dfrac{3}{25} \times 100\\\\\\:\implies\sf 3 \times 4\\\\\\:\implies\sf 12\%$

$\rule{120}{1.5}$

$\sf e)\:\:\dfrac{111}{125}\\\\\\:\implies\sf \dfrac{111}{125} \times 100\\\\\\:\implies\sf \dfrac{111}{5} \times 4\\\\\\:\implies\sf \dfrac{444}{5} \\\\\\:\implies\sf 88 \dfrac{4}{5} \%$

$\rule{120}{1.5}$

$\sf f)\:\:\dfrac{92}{100}\\\\\\:\implies\sf \dfrac{92}{100} \times 100\\\\\\:\implies\sf 92\%$