
(7/15+1/3):(1 7/30-1/3)(3/4×1/2):(1/4×3)+1/2


Ответы на вопрос

2) 1
Я могу только одну фотку дать




Let's break down the expression step by step:
(7/15 + 1/3): To add these fractions, we need a common denominator, which is 15. So, we rewrite 1/3 as (5/15). (7/15 + 5/15) = 12/15
(1 7/30 - 1/3): To subtract these fractions, we need a common denominator, which is 30. So, we rewrite 1/3 as (10/30). (1 7/30 - 10/30) = (1 - 10/30 + 7/30) = (1 - 3/10 + 7/30) To add these fractions, we also need a common denominator of 30. (1 - 9/30 + 7/30) = (1 - 2/10 + 7/30) = (1 - 1/5 + 7/30)
(3/4 × 1/2): Multiply the fractions. (3/4 × 1/2) = (3/8)
(1/4 × 3): Multiply the fractions. (1/4 × 3) = (3/4)
(1/2): This is a simple fraction.
Now, we have simplified each part of the expression:
- 12/15
- 1 - 1/5 + 7/30
- 3/8
- 3/4
- 1/2
Now, let's put the expression back together and simplify:
(12/15) : ((1 - 1/5 + 7/30) × (3/8)) : (3/4 + 1/2)
Now, let's simplify further:
(4/5) : ((4/5) × (7/30)) : (3/4 + 1/2)
Now, let's continue to simplify:
(4/5) : ((28/150)) : (3/4 + 2/4)
Now, let's simplify further by adding the fractions inside the last set of parentheses:
(4/5) : ((28/150)) : (5/4)
To divide fractions, you can multiply by the reciprocal of the second fraction:
(4/5) × (150/28) × (4/5) = (4/5) × (150/28) × (4/5) = (4/5) × (30/7)
Now, multiply the fractions:
(4/5) × (30/7) = (4/1) × (6/7) = (24/7)
So, the simplified expression is:
24/7


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