
3 7/9×4,9+4,9×6 5/12


Ответы на вопрос

Ответ:
4 43/81
Пошаговое объяснение:
Это будет 4 43/81



To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, you don't have any parentheses or exponents, so you should perform multiplication and division first, then addition:
Calculate the multiplication and division from left to right:
3 7/9 × 4,9 = (3 + 7/9) × 4.9 = (30/9 + 7/9) × 4.9 = (37/9) × 4.9
Now, calculate the second multiplication:
(37/9) × 4.9 = (37/9) × (49/10)
Next, multiply the fractions:
(37/9) × (49/10) = (37 × 49) / (9 × 10) = 1813 / 90
Calculate the second part of the expression:
4.9 × 6 5/12 = 4.9 × (6 + 5/12) = 4.9 × (72/12 + 5/12) = 4.9 × (77/12)
Multiply the fractions:
4.9 × (77/12) = (49/10) × (77/12)
Multiply the fractions:
(49/10) × (77/12) = (49 × 77) / (10 × 12) = 3733 / 60
Now, you have the results of both parts:
- The first part is 1813/90.
- The second part is 3733/60.
Now, add these two fractions:
1813/90 + 3733/60
To add these fractions, you need to find a common denominator, which is 180 for 1813/90 and 60 for 3733/60:
(1813/90) * (2/2) = 3626/180 (3733/60) * (3/3) = 11199/180
Now, add the fractions:
(3626/180) + (11199/180) = (3626 + 11199) / 180 = 14825 / 180
Finally, simplify the fraction:
14825 / 180 = 1483/18
So, the final result of the expression is 1483/18.


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