Question

2 2/7*3,8*1 1/5 ———————— 1,9*2 2/5*9 1/7

Answer 1

$\displaystyle \tt \frac{2\dfrac{2}{7}\cdot3,8\cdot1\dfrac{1}{5}}{1,9\cdot2\dfrac{2}{5}\cdot9\dfrac{1}{7}}=\frac{\dfrac{16}{7}\cdot2\cdot1,2}{2,4\cdot\dfrac{64}{7}}=\frac{16\cdot2}{2\cdot64}=\frac{1}{4}=0,25;$

Answer 2

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Answer 3

To simplify the expression:

Step 1: Convert mixed numbers to improper fractions. 2 2/7 = (7 * 2 + 2) / 7 = 16/7 1 1/5 = (5 * 1 + 1) / 5 = 6/5 2 2/5 = (5 * 2 + 2) / 5 = 12/5 9 1/7 = (7 * 9 + 1) / 7 = 64/7

Step 2: Multiply the fractions. (16/7 * 3/8) / (6/5) - (1.9 * 12/5 * 64/7)

Step 3: Perform the multiplications. (48/56) / (6/5) - (1.9 * 768/35)

Step 4: Simplify the fractions. 48/56 can be simplified to 6/7.

Step 5: Evaluate the expression. (6/7) / (6/5) - (1.9 * 768/35)

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction: (6/7) * (5/6) - (1.9 * 768/35) = 30/42 - 1.9 * 768/35

Now, we can calculate the result.

Step 6: Simplify further. 30/42 can be simplified to 5/7.

Step 7: Evaluate the expression. 5/7 - 1.9 * 768/35

To multiply fractions, multiply the numerators together and the denominators together: 5/7 - (1.9 * 768)/(35)

Step 8: Perform the multiplication. 5/7 - 1459.2/35

Step 9: Find a common denominator. The common denominator for 7 and 35 is 35.

Step 10: Convert fractions to have a common denominator. 5/7 - (1459.2 * 35)/(35 * 35) 5/7 - 51072/1225

Step 11: Subtract the fractions. To subtract fractions, we need a common denominator: (5 * 175 - 51072) / 1225 (875 - 51072) / 1225 -50197 / 1225

Therefore, the simplified expression is -50197/1225.