
2 1/2:21/4:22/3*21/5


Ответы на вопрос




To calculate the value of the expression "2 1/2 : 21/4 : 22/3 * 21/5," you should follow the order of operations, which is typically done using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, there are no parentheses or exponents, so we'll perform the multiplication and division from left to right:
2 1/2 : 21/4 is equivalent to (2 + 1/2) divided by (21/4):
First, convert the mixed number 2 1/2 to an improper fraction: 2 1/2 = (2 * 2 + 1)/2 = 5/2
Now, the expression becomes: (5/2) : (21/4)
To divide fractions, you can multiply by the reciprocal of the second fraction: (5/2) * (4/21) = (5 * 4) / (2 * 21) = 20/42
Simplify the fraction: 20/42 = 10/21
Now, we have: 10/21 : 22/3 * 21/5
Next, perform the multiplication: (10/21) * (22/3):
Multiply the numerators and denominators: (10 * 22) / (21 * 3) = 220 / 63
Finally, we have 220/63 : 21/5 left to solve. To divide fractions, multiply by the reciprocal:
(220/63) * (5/21) = (220 * 5) / (63 * 21) = 1100 / 1323
Now, 1100/1323 cannot be simplified further as there are no common factors between the numerator and denominator other than 1. So, the simplified result of the expression "2 1/2 : 21/4 : 22/3 * 21/5" is 1100/1323.


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