Question

(4 1/20-1 1/4):1/45-3 4/5=

Answer 1

Ответ:

122.2

Решение во вложении

Answer 2

To solve the expression (4 1/20 - 1 1/4) : (1/45 - 3 4/5), we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

Let's simplify the expression step by step:

Step 1: Convert the mixed numbers to improper fractions.

4 1/20 = (4 * 20 + 1) / 20 = 81/20 1 1/4 = (1 * 4 + 1) / 4 = 5/4 3 4/5 = (3 * 5 + 4) / 5 = 19/5

Step 2: Simplify within the parentheses.

(81/20 - 5/4) : (1/45 - 19/5)

Step 3: Simplify the division operation.

(81/20 - 5/4) / (1/45 - 19/5)

Step 4: Find a common denominator for the fractions involved.

The common denominator for 20, 4, and 5 is 20.

(81/20 - 25/20) / (1/45 - 76/20)

Step 5: Perform the subtraction within the numerator and denominator.

(56/20) / (1/45 - 76/20)

Step 6: Simplify the subtraction within the denominator.

(56/20) / (-76/20 - 1/45)

Step 7: Find a common denominator for the fractions involved.

The common denominator for 20 and 45 is 900.

(56/20) / (-76/20 - 20/900)

Step 8: Simplify the subtraction within the denominator.

(56/20) / (-76/20 - 1/45)

Step 9: Perform the subtraction within the numerator and denominator.

(56/20) / (-3396/900 - 20/900)

Step 10: Simplify the subtraction within the denominator.

(56/20) / (-3396/900 - 20/900)

Step 11: Combine like terms within the denominator.

(56/20) / (-3416/900)

Step 12: Simplify the division operation.

(56/20) * (-900/3416)

Step 13: Simplify the fraction multiplication.

(14/5) * (-225/854)

Step 14: Multiply the numerators and denominators.

(-14 * 225) / (5 * 854) = -3150 / 4270

The simplified expression is -3150/4270.