Question

b) The numerator of a rational number is greater than its denominator by 6. If the numerator
and denominator are increased by 7 and 1, respectively, the number obtained is. Find the
rational number.​

Answer 1

Answer:     the number obtained is. ===  1

{EXPLANATION IS LONG}

Step-by-step explanation:

LET THE DENOMINATOR BE=x

THEN THE NUMERATOR=x+6   (numerator is greater than denominator than 6)

but ,if the numerator

and denominator are increased by 7 and 1, respectively,

THEN,

• DENOMINATOR=x+7

• numerator =x+6+1= x+7

therefore, both will become equal and will reduced to the lowest fractions,,SO THE NO. OBTAINED IS 1.(x+7/x+7 ==1.)

FOR EX --- LET THE DENOMINATOR BE=5

THEN THE NUMERATOR=5+6   (numerator is greater than denominator than 6)

but ,if the numerator

and denominator are increased by 7 and 1, respectively,

THEN,

• DENOMINATOR=5+7=12

• numerator =5+6+1= 5+7=12

therefore, both will become equal and will reduced to the lowest fractions

12/12=1.