Question

(5 5/9):(2 13/30-2 1/12)*3,6=

Answer 1

2 13/30-2 1/12=73/30-25/12=146/60-125/60=21/60=7/20
5 5/9:7/20=50/9*20/7=1000/63
1000/63*3.6=1000/63*18/5=400/7=57 1/7

Answer 2

Решение:
1) 2 13/30 - 2 1/12= 2 26/60 - 2 5/60= 7/20
2) 5 5/9 : 7/20 = 1000/63 = 15 55/63
3) 15 55/63 • 3 6/10= 3600/63 = 57 1/7

Ответ: 57 1/7

Answer 3

To solve the expression (5 5/9) : ((2 13/30) - (2 1/12)) * 3.6, let's break it down step by step:

First, let's convert the mixed numbers into improper fractions: 5 5/9 = (9 * 5 + 5) / 9 = 50/9 2 13/30 = (30 * 2 + 13) / 30 = 73/30 2 1/12 = (12 * 2 + 1) / 12 = 25/12

Now, let's substitute the values back into the expression: (50/9) : ((73/30) - (25/12)) * 3.6

Next, let's simplify the subtraction within the parentheses: (50/9) : ((73/30) - (25/12)) * 3.6 = (50/9) : (73/30 - 25/12) * 3.6

To subtract fractions, we need a common denominator, which in this case is 60: (50/9) : ((73/30)(2/2) - (25/12)(5/5)) * 3.6 = (50/9) : ((146/60) - (125/60)) * 3.6 = (50/9) : (21/60) * 3.6

Now, let's invert the second fraction and multiply: (50/9) * (60/21) * 3.6 = (50/9) * (20/7) * 3.6

Now, let's multiply the fractions and the whole numbers: (50 * 20)/(9 * 7) * 3.6 = 1000/63 * 3.6

Finally, let's multiply the fractions and the whole numbers to get the result: (1000 * 3.6) / 63 = 3600/63 = 57.142857142857146

Therefore, (5 5/9) : ((2 13/30) - (2 1/12)) * 3.6 is approximately equal to 57.142857142857146.