Question

4/5:5/8-4/5*24/25+1/25:54 По действиям

Answer 1

1)4/5:5/8=1 целая 7/25
2)4/5*24/25=96/125
3)1/25:54=1/1350
4)1 7/25-96/125=256/125
5)256/125+1/1350=2765,8/1350=2 целых 13/270 
Вроде так,не судите строго спать охото

Answer 2

To simplify the expression 4/5 ÷ 5/8 - 4/5 × 24/25 + 1/25 ÷ 54, follow the order of operations (PEMDAS/BODMAS):

1. Perform operations inside parentheses (if any) - There are no parentheses in this expression.

2. Perform operations with exponents (if any) - There are no exponents in this expression.

3. Perform multiplications and divisions from left to right -

   a) 4/5 ÷ 5/8: To divide fractions, we invert and multiply the second fraction: (4/5) ÷ (5/8) = (4/5) × (8/5) = (4 * 8) / (5 * 5) = 32/25

   b) 1/25 ÷ 54: Divide the fractions: (1/25) ÷ 54 = (1/25) ÷ (54/1) = (1/25) × (1/54) = 1/1350

4. Perform additions and subtractions from left to right -

   a) 32/25 - 4/5 × 24/25 + 1/1350: Convert 4/5 to an equivalent fraction with a denominator of 25: 4/5 = (4/5) × (5/5) = 20/25

   Now, the expression becomes: 32/25 - 20/25 × 24/25 + 1/1350

   Next, multiply fractions: (20/25) × (24/25) = (20 * 24) / (25 * 25) = 480/625

   Now the expression becomes: 32/25 - 480/625 + 1/1350

   b) Perform subtraction and addition: Find a common denominator for 25 and 625, which is 3125: 32/25 = (32/25) × (125/125) = 400/1250 480/625 = (480/625) × (5/5) = 2400/3125 1/1350 = (1/1350) × (25/25) = 25/33750

   Now, the expression becomes: 400/1250 - 2400/3125 + 25/33750

   c) Find a common denominator for all three fractions, which is 33750: 400/1250 = (400/1250) × (27/27) = 10800/33750 2400/3125 = (2400/3125) × (9/9) = 21600/33750

   The expression is now: 10800/33750 - 21600/33750 + 25/33750

   d) Combine the fractions: (10800 - 21600 + 25) / 33750 = -10775 / 33750

The final simplified result is -10775/33750.