
1/2+10:(5-1 1/4)x1 4/5


Ответы на вопрос

Ответ:
5,3
Пошаговое объяснение:
1/2+10:(5-5/4)*9/5
1/2+2:15/4*9
1/2+2*4/15*9
1/2+24/5
53/10=5,3



Ответ:8 1/2
Пошаговое объяснение:
1/2+10:(20/4-11/4)*1 4/5
1/2+10:9/4*1 4/5
1/2+10*4/9*9/5
1/2+40/9*9/5
1/2+8/9*9
1/2+8
8 1/2



To solve the expression 1/2 + 10:(5 - 1 1/4) × 1 4/5, let's break it down step by step:
First, we need to simplify the expression inside the parentheses: (5 - 1 1/4).
To subtract 1 1/4 from 5, we need to convert 5 to a fraction with the same denominator as 1/4, which is 4/4. So we have:
5 - 1 1/4 = 5 - 5/4 = 20/4 - 5/4 = 15/4.
Now, let's substitute this value back into the expression:
1/2 + 10:(15/4) × 1 4/5.
Next, we need to perform the division 10:(15/4). To divide by a fraction, we multiply by its reciprocal. So we have:
10 ÷ (15/4) = 10 × (4/15) = 40/15.
Now the expression becomes:
1/2 + 40/15 × 1 4/5.
Next, we need to convert the mixed number 1 4/5 to an improper fraction:
1 4/5 = (1 × 5 + 4)/5 = 9/5.
Now the expression becomes:
1/2 + 40/15 × 9/5.
Next, let's simplify the multiplication 40/15 × 9/5:
(40/15) × (9/5) = (40 × 9) / (15 × 5) = 360/75.
Now the expression becomes:
1/2 + 360/75.
To add fractions, we need to find a common denominator. The least common multiple of 2 and 75 is 150. So let's convert the fractions:
1/2 = (1 × 75) / (2 × 75) = 75/150.
360/75 = (360 × 2) / (75 × 2) = 720/150.
Now the expression becomes:
75/150 + 720/150.
Now that we have a common denominator, we can add the fractions:
75/150 + 720/150 = (75 + 720) / 150 = 795/150.
Finally, let's simplify the fraction:
795/150 = 53/10.
So the final answer is 53/10.


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