Question

24*(1 31/63+1/14-(2 5/21+31/252)):12/35

Answer 1

1) 1 31/63 + 1/14 = 94/63 + 1/14 = 197/126
2) 25/21 + 31/252 = 331/252 
3) 197/126 — 331/252 = 63/252 = 1/4
4) 24 * 1/4 = 24/4 = 6
5) 6:12/36=6*36/12= 6*2=121)2 5/21+31/252=2 13/36 2)1 31/63 +1/4=1 187/252 3)2 13/36-1 187/252=13/21 4)13/21х24=14 6/7 5)14 6/7 : 12/35=43 1/3 ответ : 43 1/3

Answer 2

To simplify the given expression, let's break it down step by step:

Step 1: Simplify the fractions within the parentheses.

• 1 31/63 can be simplified as (63 + 31)/63 = 94/63
• 2 5/21 can be simplified as (42 + 5)/21 = 47/21

Step 2: Perform the additions within the parentheses.

• (94/63 + 1/14 - (47/21 + 31/252))

Step 3: Find the common denominator for the fractions.

• The common denominator for 63, 14, 21, and 252 is 252.

Step 4: Convert all fractions to have the common denominator.

• (94/63 + 1/14 - (47/21 + 31/252)) becomes (376/252 + 18/252 - (188/84 + 1/252))

Step 5: Perform the additions within the parentheses.

• (376/252 + 18/252 - (188/84 + 1/252)) = (394/252 - 189/84 - 1/252)

Step 6: Simplify the fractions further.

• 394/252 can be simplified as (2 * 197)/(2 * 126) = 197/126
• 189/84 can be simplified as (3 * 63)/(3 * 28) = 63/28
• 1/252 cannot be simplified.

Step 7: Perform the final subtraction.

• (197/126 - 63/28 - 1/252) = (197/126 - (63 * 9)/(28 * 9) - 1/252) = (197/126 - 567/252 - 1/252) = (197/126 - 568/252) = (197/126 - 71/36)

Step 8: Find the common denominator for the fractions.

• The common denominator for 126 and 36 is 126.

Step 9: Convert both fractions to have the common denominator.

• (197/126 - 71/36) becomes (197/126 - (71 * 7)/(36 * 7)) = (197/126 - 497/252)

Step 10: Perform the final subtraction.

• (197/126 - 497/252) = (394/252 - 497/252) = (-103/252)

Step 11: Multiply the result by 24.

• 24 * (-103/252) = (-103 * 24)/(252) = -2472/252

Step 12: Simplify the resulting fraction.

• -2472/252 can be simplified as (-8 * 309)/(9 * 28) = -309/28

Therefore, the simplified expression is -309/28.