Verify if (x+7)/(7+x) = 1: Fraction Equality Check

Determine if the simplification described below is correct:

$\frac{x+7}{7+x}=1$

To determine if the simplification $\frac{x+7}{7+x}=1$ is correct, we need to analyze the given expression.

The expression $\frac{x+7}{7+x}$ involves two terms: $x + 7$ in the numerator and $7 + x$ in the denominator. These are both algebraic expressions that involve addition.

In mathematics, the commutative property of addition tells us that the order of terms does not affect their sum. Therefore:

• $x + 7$ is equivalent to $7 + x$.

This means that the numerator and denominator are indeed the same expression. As a result, the fraction $\frac{x+7}{7+x}$ simplifies to $1$, since any non-zero number divided by itself equals $1$.

Hence, the simplification described is indeed correct.

The conclusion is that the simplification $\frac{x+7}{7+x}=1$ is Correct.