Chapter 9.7, Problem 20OE

To determine

To express: the fraction in terms of n and d .

Answer to Problem 20OE

The expression is $\frac{n-7}{d-7}$ .

Explanation of Solution

Given information:

  $\text{A fraction is represented by }\frac{n}{d}.$

Decrease both the numerator and the denominator by 7.

Formula used:

Fraction problem

Step1. The problem asks for .

Step2. Let n = the numerator of the original fraction

Let d = the denominator of the original fraction.

Then $\frac{n}{d}=\text{the original fraction}$ .

Step3. Use the facts of the problem to write two equations.

Step4. Solve the equations.

Calculation:

Consider ,

Let n = the numerator of the original fraction.

Let d = the denominator of the original fraction.

Original fraction $=\frac{n}{d}$ .

Fraction		Decrease by 7
Numerator	$n$	$n-7$
Denominator	$d$	$d-7$

The new fraction is :-

  $\frac{n-7}{d-7}$

Hence, the expression is $\frac{n-7}{d-7}$ .