Question

5 6/35+3 9/44-4 7/22

Answer 1

Ответ:

Будет $4\frac{89}{1540}$

Пошаговое объяснение:

$5\frac{6}{35} +3\frac{9}{44} -4\frac{7}{22} =\\ \\ =\frac{5*35+6}{35} +\frac{3*44+9}{44} -\frac{4*22+7}{22} =\\ \\ =\frac{181}{35} +\frac{141}{44} -\frac{95}{22} =\\ \\ =\frac{181}{5*7} + \frac{141}{2*2*11} -\frac{95}{2*11} =\\ \\ =\frac{181*2*2*11}{5*7*2*2*11} +\frac{141*5*7}{2*2*11*5*7} -\frac{95*2*5*7}{2*11*2*5*7} =\\ \\ =\frac{7964}{1540} +\frac{4935}{1540} -\frac{6650}{1540} =\\ \\ =\frac{7964 + 4935 - 6650}{1540} =\frac{6249}{1540} =4\frac{89}{1540}$

Answer 2

To solve the expression 5 6/35 + 3 9/44 - 4 7/22, we need to convert the mixed numbers into improper fractions and perform the operations.

Let's convert the mixed numbers into improper fractions first:

5 6/35 = (5 * 35 + 6) / 35 = 181/35 3 9/44 = (3 * 44 + 9) / 44 = 141/44 4 7/22 = (4 * 22 + 7) / 22 = 95/22

Now we can substitute these values back into the expression:

181/35 + 141/44 - 95/22

To add and subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 35, 44, and 22 is 1540. We'll convert each fraction to have a denominator of 1540:

(181/35) * (44/44) = 7984/1540 (141/44) * (35/35) = 4935/1540 (95/22) * (70/70) = 6650/1540

Now we can rewrite the expression with the common denominator:

7984/1540 + 4935/1540 - 6650/1540

Performing the addition and subtraction:

(7984 + 4935 - 6650) / 1540 = 6269/1540

The fraction 6269/1540 cannot be simplified further, so that is the final result of the expression 5 6/35 + 3 9/44 - 4 7/22.