Question

3 7/15*0,25+5/6-1 2/5

Answer 1

Ответ:3/10 или 0,3

Пошаговое объяснение:

В комментариях к решению всё расписал

Answer 2

3/10 или 0,3 это провереный ответ

Answer 3

To solve the expression 3 7/15 * 0.25 + 5/6 - 1 2/5, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down your expression step by step:

1. First, convert the mixed numbers to improper fractions:
   • 3 7/15 = (3 * 15 + 7)/15 = (45 + 7)/15 = 52/15
   • 1 2/5 = (1 * 5 + 2)/5 = (5 + 2)/5 = 7/5

So, the expression becomes: (52/15) * 0.25 + 5/6 - 7/5

2. Next, multiply and divide from left to right: (52/15) * 0.25 = (52/15) * (1/4) = (52/60) = (13/15)

So, the expression now becomes: (13/15) + 5/6 - 7/5

3. Now, find a common denominator for the fractions: The least common multiple (LCM) of 15, 6, and 5 is 30.

4. Adjust the fractions to have a common denominator of 30:

   • (13/15) becomes (13/15) * (2/2) = (26/30)
   • (5/6) becomes (5/6) * (5/5) = (25/30)
   • (7/5) becomes (7/5) * (6/6) = (42/30)

So, the expression now becomes: (26/30) + (25/30) - (42/30)

5. Now, add and subtract the fractions with the common denominator: (26/30) + (25/30) - (42/30) = (26 + 25 - 42)/30 = (51 - 42)/30 = 9/30

6. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: (9/30) ÷ (3/3) = (3/10)

So, the final result of the expression is 3/10.