The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is _________. Fill in the blanks to make the statement true.
Solution:
Given, the denominator of a rational number is greater than the numerator by 10.
The numerator is increased by 1 and the denominator is decreased by 1, then the expression for the new denominator is _______.
We have to fill in the blanks to make the statement true.
Let the numerator be x.
Denominator = x + 10
Rational number = x/(x+10)
According to the question,
Numerator = x + 1
Denominator = x + 10 - 1
= x + 9
Rational number = (x + 1)/(x + 9)
Therefore, the new denominator is x + 9.
✦ Try This: The denominator of a rational number is greater than the numerator by 11. If the numerator is increased by 2 the and denominator is decreased by 2, then expression for new denominator is _________. Fill in the blanks to make the statement true.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 31
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is _________. Fill in the blanks to make the statement true.
Summary:
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is x + 9.
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