Question

When a fraction is reduced to its lowest term, is it equal to 3/4 the numerator of the fraction when double would be 34 greater than the denominator. What is the fraction?

Answer 1

Question :-

When a fraction is reduced to its lowest term, is it equal to 3/4 the numerator of the fraction when double would be 34 greater than the denominator. What is the fraction?

Find :-

• Faction = ?

Solution :-

• N = Numerator
• D = Denominator

According to Question

• Given condition

→ N / D = 3 / 4

→ 2 N = D + 34

→ N / D = 3 / 4 Multiply both sides by D

→ N = 3 D / 4

→ 2 N = D + 34

→ 2 × 3 D / 4 = D + 34

→ 6 D / 4 = D + 34 { Multiply both sides by 4 }

→ 6 D = 4 D + 136 { Subtract 4 D to both sides }

→ 6 D - 4 D = 4 D + 136 - 4 D

→ 2 D = 136 { Divide both sides by 2 }

→ D = 68

→ N = 3 D / 4

→ N = 3 × 68 / 4

→ 204 / 4 = 51

Hence :-

• The fraction is n/D = 51 / 68

$\sf$

Answer 2

$\huge\fcolorbox{red}{yelow}{Question}$

When a fraction is reduced to its lowest term, is it equal to 3/4 the numerator of the fraction when double would be 34 greater than the denominator. What is the fraction?

$\huge\fcolorbox{red}{yelow}{Solution}$

N = Numerator

D = Denominator

Conditions :

N / D = 3 / 4

2 N = D + 34

N / D = 3 / 4 Multiply both sides by D

➣ N = 3 D / 4

➣ 2 N = D + 34

➣ 2 * 3 D / 4 = D + 34

➣ 6 D / 4 = D + 34 Multiply both sides by 4

➣ 6 D = 4 D + 136 Subtract 4 D to both sides

➣ 6 D - 4 D = 4 D + 136 - 4 D

➣ 2 D = 136 Divide both sides by 2

D = 68

➣ N = 3 D / 4

➣ N = 3 * 68 / 4 = 204 / 4 = 51

➣ 51 / 68

Hence the fraction is 51/68