Joy The nomeratar of fraction is less than ito denominator If the numerator is increased by I and the denominator is increased 39 the fraction become L. Find the original praction .
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Given:–The numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to (4/5) What is the original fraction ?
Answer:–
Let us assume that, the original fraction is x/y .
so,
→ x = y – 1 ——– Eqn.(1)
now,
→ (x + 4)/(y + 5) = 4/5
→ 5(x + 4) = 4(y + 5)
→ 5x + 20 = 4y + 20
→ 5x = 4y
putting value of Eqn.(1) ,
→ 5(y – 1) = 4y
→ 5y – 5 = 4y
→ 5y – 4y = 5
→ y = 5 .
then,
→ x = y – 1 = 5 – 1 = 4 .
therefore, required original fraction will be (x/y) =(4/5).
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Given :– The numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to (4/5) What is the original fraction ?
Answer :–
Let us assume that, the original fraction is x/y .
so,
→ x = y – 1 ——– Eqn.(1)
now,
→ (x + 4)/(y + 5) = 4/5
→ 5(x + 4) = 4(y + 5)
→ 5x + 20 = 4y + 20
→ 5x = 4y
putting value of Eqn.(1) ,
→ 5(y – 1) = 4y
→ 5y – 5 = 4y
→ 5y – 4y = 5
→ y = 5 .
then,
→ x = y – 1 = 5 – 1 = 4 .
therefore, required original fraction will be (x/y) = (4/5) .
Learn more :-
the average age of 30 students is 9 years if the age of their teacher is included it becomes 10 years ago the age of the…
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Answer:
Nahi pata sorry for disturbing to ask