Question

6 3/8 ∙1 7/17-2 3/8 ∶1 1/4 +2/5

Answer 1

$6 \frac{3}{8} \times 1 \frac{7}{17} - 2 \frac{3}{8} \div \frac{11}{4} + \frac{2}{5} = \frac{51}{8} \times \frac{7}{17} - \frac{19}{8} \times \frac{4}{11} + \frac{2}{5} = \frac{3}{8} \times 7 - \frac{19}{2} \times \frac{1}{11} + \frac{2}{5} = \frac{21}{8} - \frac{19}{22} + \frac{2}{5} = \frac{951}{440}$

Answer 2

To solve the given expression, let's break it down step by step:

Step 1: Simplify the fractions 6 3/8 = (6 * 8 + 3)/8 = 51/8 1 7/17 = (1 * 17 + 7)/17 = 24/17 2 3/8 = (2 * 8 + 3)/8 = 19/8 1 1/4 = (1 * 4 + 1)/4 = 5/4 2/5 = 2/5

Step 2: Perform the multiplication and division operations 51/8 * 24/17 = (51 * 24)/(8 * 17) = 1224/136 = 57/6 = 9 3/6 = 9 1/2

19/8 - 5/4 = (19 * 2 - 5 * 4)/(8 * 2) = (38 - 20)/16 = 18/16 = 9/8

Step 3: Perform the addition operation 9 1/2 + 2/5 = (9 * 2 + 1)/2 + 2/5 = 19/2 + 2/5 = (19 * 5 + 2 * 2)/(2 * 5) = (95 + 4)/10 = 99/10 = 9 9/10

Therefore, the value of the expression 6 3/8 ∙1 7/17-2 3/8 ∶1 1/4 +2/5 is 9 9/10.