Question

5 7/8−(4−3 1/ 15):4/25+5/6.

Answer 1

Ответ:

57÷8-29÷15×1÷4×1÷25+5÷6=7939÷1000 или 7.939

Answer 2

To simplify the given expression, let's perform the calculations step by step:

Step 1: Simplify the expressions within parentheses: 4 - 3 1/15 = 4 - (3 + 1/15) = 4 - 46/15 = (60/15) - (46/15) = 14/15

Step 2: Subtract the value obtained above from 5 7/8: 5 7/8 - 14/15 = (5*8 + 7)/8 - 14/15 = (40 + 7)/8 - 14/15 = 47/8 - 14/15

Step 3: Convert the fractions to a common denominator: To find the common denominator, we multiply the denominators of 8 and 15: 8 * 15 = 120

47/8 - 14/15 = (47 * 15)/(8 * 15) - (14 * 8)/(15 * 8) = 705/120 - 112/120

Step 4: Combine the fractions with the common denominator: 705/120 - 112/120 = (705 - 112)/120 = 593/120

Step 5: Divide the result obtained above by the fraction 4/25: 593/120 ÷ 4/25 = 593/120 × 25/4

Step 6: Simplify the multiplication: (593 × 25)/(120 × 4) = 14825/480

Step 7: Add the fraction 5/6 to the result obtained above: 14825/480 + 5/6 = (14825 × 6)/(480 × 6) + (5 × 80)/(6 × 80) = 88950/2880 + 400/480

Step 8: Simplify the addition: 88950/2880 + 400/480 = (88950 × 10)/(2880 × 10) + (400 × 6)/(480 × 6) = 889500/28800 + 2400/2880

Step 9: Simplify the addition further: 889500/28800 + 2400/2880 = 889500/28800 + 2400/28800 = (889500 + 2400)/28800 = 891900/28800

Step 10: Reduce the fraction to its simplest form: 891900/28800 = 2475/80

Therefore, the value of the given expression is 2475/80.