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If the quotient of 8/13 and 2 is subtracted from the product of 1 3/4 and 8/21, what is the difference?


Sagot :

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