Question

9/10×20/27+5/16×10/24-5/9× 1ц 7/20​

Answer 1

Ответ:

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$= 4$

Answer 2

To solve the expression, we'll follow the order of operations, which is typically expressed as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Calculate 9/10 × 20/27: (9/10) × (20/27) = (9 × 20) / (10 × 27) = 180 / 270 = 2/3

2. Calculate 5/16 × 10/24: (5/16) × (10/24) = (5 × 10) / (16 × 24) = 50 / 384 = 25 / 192

3. Calculate 5/9 × 1 ц 7/20: To calculate this part, we need to convert the mixed number 1 ц 7/20 into an improper fraction. 1 ц 7/20 = (1 × 20 + 7) / 20 = 27/20

   (5/9) × (27/20) = (5 × 27) / (9 × 20) = 135 / 180 = 3/4

Now, let's put everything together:

2/3 + 25/192 - 3/4

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 192, which is the lowest common multiple of the denominators 3, 4, and 192 itself.

Converting all fractions to have the common denominator:

(2/3) × (64/64) + (25/192) - (3/4) × (48/48) = 128/192 + 25/192 - 144/192

Now we can add and subtract the fractions:

128/192 + 25/192 - 144/192 = (128 + 25 - 144) / 192 = 9/192

The expression simplifies to 9/192.