estimate:\n$\frac{6}{7}+\frac{8}{9}=$\na 2\nb $\frac{14}{16}$\nc $\frac{48}{63}$\nd $\frac{7}{8}$

Answer:

A. 2

Explanation:

Step1: Find a common denominator

The common denominator of 7 and 9 is $7\times9 = 63$.

Step2: Rewrite the fractions

$\frac{6}{7}=\frac{6\times9}{7\times9}=\frac{54}{63}$ and $\frac{8}{9}=\frac{8\times7}{9\times7}=\frac{56}{63}$.

Step3: Add the fractions

$\frac{54}{63}+\frac{56}{63}=\frac{54 + 56}{63}=\frac{110}{63}\approx1.75$. Since $1.75$ is close to 2, the estimate is 2.