Question

5 - 3 7/22 +5 31/30:4+ 1/5×2 23/51×15 3/10​

Answer 1

Ответ:

10 911/1320_______________________________

Answer 2

Відповідь:

10 911/1320

Покрокове пояснення:

Answer 3

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

5 - 3 7/22 + 5 31/30 : 4 + 1/5 × 2 23/51 × 15 3/10

Step 1: Perform the addition and subtraction from left to right: 5 - 3 7/22 + 5 31/30 = 5 - (3 + 7/22) + (5 + 31/30)

Step 2: Convert mixed numbers to improper fractions: 5 - (3 + 7/22) + (5 + 31/30) = 5 - (3 × 22/22 + 7/22) + (5 × 30/30 + 31/30) = 5 - (66/22 + 7/22) + (150/30 + 31/30)

Step 3: Add or subtract the fractions within parentheses: 5 - (66/22 + 7/22) + (150/30 + 31/30) = 5 - (73/22) + (181/30)

Step 4: Convert the fractions to a common denominator: 5 - (73/22) + (181/30) = 5 × 30/30 - (73/22) × 30/30 + (181/30)

Step 5: Perform the multiplication and addition/subtraction: 5 × 30/30 - (73/22) × 30/30 + (181/30) = 150/30 - (73 × 30/22 × 30) + 181/30 = 150/30 - (73 × 30)/(22 × 30) + 181/30

Step 6: Simplify and combine the fractions: 150/30 - (73 × 30)/(22 × 30) + 181/30 = 5 - 2190/660 + 181/30 = 5 - 73/22 + 181/30

Step 7: Convert the mixed number back to an improper fraction: 5 - 73/22 + 181/30 = 5 × 22/22 - 73/22 + 181/30 = 110/22 - 73/22 + 181/30

Step 8: Perform the addition/subtraction: 110/22 - 73/22 + 181/30 = (110 - 73)/22 + 181/30 = 37/22 + 181/30

Step 9: Convert the fractions to a common denominator: 37/22 + 181/30 = (37 × 30)/(22 × 30) + 181/30 = 1110/660 + 181/30

Step 10: Simplify and combine the fractions: 1110/660 + 181/30 = 37/22 + 181/30

So, the final result is 37/22 + 181/30.