
((1 1/4)-5/8) *10 2/3 -7 1/3


Ответы на вопрос

Пошаговое объяснение:
((1 1/4)-5/8) *10 2/3 -7 1/3=-1/3
1 1/4-5/8=5/4-5/8=(5*2-5)/8=5/8
5/8*10 2/3=5/8*32/3=20/3
20/3-7 1/3=20/3-21/3=-1/3



Ответ:
Пошаговое объяснение:
((1 1/4)-5/8) *10 2/3 -7 1/3=
=(5/4-5/8)•32/3-22/3=
=5/8•32/3-22/3=-2/3



To solve the expression, let's break it down step by step:
Step 1: Simplify the first part of the expression. ((1 1/4) - 5/8)
First, convert the mixed number (1 1/4) to an improper fraction: 1 1/4 = (4 * 1 + 1)/4 = 5/4
Now, subtract 5/8 from 5/4: (5/4) - (5/8)
To subtract fractions, we need a common denominator, which is 8 in this case: (5/4) - (5/8) = (10/8) - (5/8) = 5/8
Step 2: Multiply the result from Step 1 by 10 2/3. (5/8) * 10 2/3
Convert the mixed number (10 2/3) to an improper fraction: 10 2/3 = (3 * 10 + 2)/3 = 32/3
Now, multiply (5/8) by (32/3): (5/8) * (32/3) = (5 * 32)/(8 * 3) = 160/24
Step 3: Simplify the result from Step 2. 160/24 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 8: 160/24 = (160/8) / (24/8) = 20/3
Step 4: Subtract 7 1/3 from the result from Step 3. 20/3 - 7 1/3
Convert the mixed number (7 1/3) to an improper fraction: 7 1/3 = (3 * 7 + 1)/3 = 22/3
Now, subtract (22/3) from (20/3): (20/3) - (22/3)
To subtract fractions, we need a common denominator, which is 3 in this case: (20/3) - (22/3) = -2/3
The final result of the expression is -2/3.


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