The numerator of a fraction is 2 less than the denominator. If the numerator is increased by 1 and the denominator is increased by 1, the new fraction is equivalent to 3/4. Find the original fraction
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the original fraction is 5/7
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the numerator = d-2
the denominator = d
after adding 1 to numerator and denominator the new fraction will be
=d-2+1/d+1
according to the question:
=>d-2+1/d+1=3/4
=d-1/d+1=3/4
=3(d+1)=4(d-1)
=3d+3=4d-4
=3+4=4d-3d
=7=d
the denominator = d
after adding 1 to numerator and denominator the new fraction will be
=d-2+1/d+1
according to the question:
=>d-2+1/d+1=3/4
=d-1/d+1=3/4
=3(d+1)=4(d-1)
=3d+3=4d-4
=3+4=4d-3d
=7=d
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