What number should be added to the numerator and denominator of the fraction 7/10 to make it 3/4 ?

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Solution

Dear student
$Let x be the number added to numerator and denominator of fraction \frac{7}{10} . After adding, we get \frac{7 + x}{10 + x} = \frac{3}{4} \Rightarrow 4 (7 + x) = 3 (10 + x) \Rightarrow 28 + 4 x = 30 + 3 x \Rightarrow 4 x - 3 x = 30 - 28 \Rightarrow x = 2 So, 2 is the number that should be added to n u m e r a t o r a n d d e n o m i n a t o r o f \frac{7}{10} get the fraction \frac{3}{4} .$
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What number should be added to the numerator and denominator of the fraction 7/10 to make it 3/4 ?

Dear student Let x be the number added to numerator and denominator of fraction 710.After adding, we get7+x10+x=34⇒47+x=310+x⇒28+4x=30+3x⇒4x-3x=30-28⇒x=2So, 2 is the number that should be added to numerator and denominator of 710 get the fraction 34. Regards