Fraction Equality D87E82

1. **State the problem:** We want to check if the expression $10 + \frac{1}{8}$ is equal to $10 + \frac{2}{16}$. 2. **Recall the rule:** Two fractions are equal if they represent the same value. Also, adding the same number to equal values keeps equality. 3. **Simplify the fractions:** Note that $\frac{2}{16}$ can be simplified by dividing numerator and denominator by 2: $$\frac{2}{16} = \frac{\cancel{2}}{\cancel{16}} = \frac{1}{8}$$ 4. **Rewrite the expressions:** $$10 + \frac{1}{8} \quad \text{and} \quad 10 + \frac{1}{8}$$ 5. **Compare:** Both expressions are exactly the same, so they are equal. **Final answer:** Yes, $10 + \frac{1}{8} = 10 + \frac{2}{16}$ because $\frac{2}{16}$ simplifies to $\frac{1}{8}$.