Question

1. $1\frac{6}{7} + 5\frac{13}{14} - 2\frac{1}{2} = \underline{\quad\quad}$

use a symbol card to complete the equation. then find $b$.
$- 1\frac{17}{20} \square b = 1\frac{1}{2}$

Explanation:

Step1: Convert to improper fractions

$1\frac{6}{7}=\frac{13}{7}$, $5\frac{13}{14}=\frac{83}{14}$, $2\frac{1}{2}=\frac{5}{2}$

Step2: Find common denominator (14)

$\frac{13}{7}=\frac{26}{14}$, $\frac{5}{2}=\frac{35}{14}$

Step3: Add first two fractions

$\frac{26}{14}+\frac{83}{14}=\frac{109}{14}$

Step4: Subtract the third fraction

$\frac{109}{14}-\frac{35}{14}=\frac{74}{14}$

Step5: Simplify to mixed number

$\frac{74}{14}=\frac{37}{7}=4\frac{6}{7}$

Answer:

$4\frac{6}{7}$