Question

3 5/11+3 8/11-1 5/17-5 13/17

Answer 1

Решить пример.

$3\dfrac{5}{11} + 3\dfrac{8}{11} - 1\dfrac{5}{17} - 5\dfrac{13}{17} = 6 + \dfrac{5 + 8}{11} - (6 + \dfrac{5 + 13}{17}) =\\= 6 + \dfrac{13}{11} - 6 - \dfrac{18}{17} = \dfrac{13}{11} - \dfrac{18}{17} = 1\dfrac{2}{11} - 1\dfrac{1}{17} = \dfrac{2}{11} - \dfrac{1}{17} =\\= \dfrac{2*17 - 1*11}{187} = \dfrac{34 - 11}{187} = \dfrac{23}{187}.$

Ответ: $\dfrac{23}{187}.$

Answer 2

To perform the calculation, we need to convert all mixed numbers to improper fractions and then proceed with the addition and subtraction. Here's how you can do it step by step:

Step 1: Convert mixed numbers to improper fractions: 3 5/11 = (3 * 11 + 5) / 11 = 38/11 3 8/11 = (3 * 11 + 8) / 11 = 41/11 1 5/17 = (1 * 17 + 5) / 17 = 22/17 5 13/17 = (5 * 17 + 13) / 17 = 98/17

Step 2: Perform the addition and subtraction: (38/11) + (41/11) - (22/17) - (98/17)

Step 3: Find a common denominator (the least common multiple of 11 and 17 is 187):

[(38/11) * (17/17)] + [(41/11) * (17/17)] - (22/17) - (98/17)

Step 4: Combine the fractions with the common denominator:

(646/187) + (697/187) - (22/17) - (98/17)

Step 5: Now that all fractions have the same denominator, we can add and subtract them:

= (646 + 697 - 22 - 98) / 187 = 1223 / 187

Step 6: If possible, simplify the fraction:

1223 ÷ 187 = 6 with a remainder of 121

The result is 6 121/187.