### Home > AC > Chapter 10 > Lesson 10.2.1 > Problem10-53

10-53.

Which of the expressions below are equal to $1$? (Note: More than one answer is possible!)

Any fraction where the numerator and denominator are the same is equal to $1$.

1. $\frac { 2 x + 3 } { 3 + 2 x }$

Rearrange to see if the numerator and denominator are equal.

$\frac{2x+3}{2x+3}$

The fraction is equal to $1$.

1. $\frac{6x-12}{6\left(x-2\right)}$

Simplify the expression.

$\frac{6x-12}{6x-12}$

The fraction is equal to $1$.

1. $\frac{\left(2x-3\right)\left(x+2\right)}{2x^2+x-6}$

Factor the denominator using a generic rectangle and the diamond pattern found in earlier chapters.

1. $\frac { x } { 2 } \div \frac { 2 } { x }$

Change the expression to a product.

$\left(\frac{x}{2}\right) \left(\frac{x}{2}\right)$

Does this product equal $1$?