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Answer:
2/7
Step-by-step explanation:
Step 1:
Convert 1 3/4 to an improper fraction:
1 3/4 = (4*1 + 3)/4 = 7/4
Step 2:
Find the product of 1 3/4 and 8/21:
(7/4) * (8/21) = (78)/(421) = 56/84 = 2/3
Step 3:
Find the quotient of 8/13 and 2:
8/13 ÷ 2 = 8/13 * 1/2 = 8/26 = 4/13
Step 4:
Subtract the quotient from the product:
2/3 - 4/13 = (213 - 43)/(3*13) = (26 - 12)/39 = 14/39 = 2/7