
3,¹/4+5/8×2=?.........


Ответы на вопрос







To solve this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
The expression you provided is:
3 ¹/₄ + 5/8 × 2
First, let's simplify the multiplication:
5/8 × 2 = 10/8
Next, we add the mixed number and the fraction:
3 ¹/₄ + 10/8
To add these two, we need to have a common denominator. In this case, the lowest common denominator is 8.
Converting the mixed number to an improper fraction:
3 ¹/₄ = (3 × 4 + 1)/4 = 13/4
Now, we can add the fractions:
13/4 + 10/8
To add fractions, we need a common denominator. Since 8 is already a denominator, we can convert 13/4 to have a denominator of 8:
13/4 × 2/2 = 26/8
Now, we can add the fractions:
26/8 + 10/8 = 36/8
The fraction 36/8 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
36/8 ÷ 4/4 = 9/2
Therefore, the final result of the expression 3 ¹/₄ + 5/8 × 2 is 9/2 or 4 ¹/₂.


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