Question

Given that p=0.25 and q=2/7
i. Express p/q as a fraction in simplest form
ii. Hence find p as a percentage of q​

Answer 1

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Explanation

• p ={0.25 /1 }× {100 / 100 }
• =}{ now due to 100 (denomination) having 2 zeros , and 0.25 the decimal point is after 2 numbers , therefore the decimal will be taken off .
• =} now let's do cross multiplication .

(2nd equation answer )

• 25 ×1 ( denomination hundred changed to one after taking off the decimal point ) 1× 100 so the it ll 25 / 100 = 1/4 .
• therefore we got the answer of the second question.

now ( first equation answer )

p ÷ q =}

(1/4) ÷ ( 2/7 )

=} 1/4 × 7/ 2 after cancellation,

(1× 7 )/( 4 × 2) therefore ,

the answer will be = 7 / 8 .

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Answer 2

SOLUTION

GIVEN

p = 0.25 and q=2/7

TO DETERMINE

i. Express p/q as a fraction in simplest form

ii. Hence find p as a percentage of q

EVALUATION

Here it is given that

p = 0.25

$\displaystyle \sf{p = \frac{25}{100} }$

$\displaystyle \sf{ \implies \: p = \frac{1}{4} }$

Again

$\displaystyle \sf{ q = \frac{2}{7} }$

i. Hence

$\displaystyle \sf{ \frac{p}{q} }$

$\displaystyle \sf{ = \frac{ \displaystyle \sf{ \frac{1}{4} }}{ \displaystyle \sf{ \frac{2}{7} }} }$

$\displaystyle \sf{ = \frac{1}{4} \times \frac{7}{2} }$

$\displaystyle \sf{ = \frac{7}{8} }$

ii. Now expressing p as a percentage of q we get

$\displaystyle \sf{ = \frac{ \displaystyle \sf{ \frac{1}{4} }}{ \displaystyle \sf{ \frac{2}{7} }} \times 100 \: \%}$

$\displaystyle \sf{ = \frac{700}{8} }\: \%$

$\displaystyle \sf{ = \frac{175}{2} }\: \%$

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