Question

2 4/8 - 4 1/5 × (1 5/4 - 41/42)

Answer 1

Ответ:

4/8 - 41/5 x 233/84

4/8 - 9553/420

- 9343/420 -Ответ

Пошаговое объяснение:

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first, E - Exponents (none in this case), MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

1. Solve inside the parentheses: 1 5/4 - 41/42

To subtract fractions, we need to find a common denominator: Common denominator for 4 and 42 is 84.

1 5/4 = (1 * 84 + 5) / 84 = 89 / 84 41/42 = 41 / 42

Now, subtract the fractions: (89/84) - (41/42) = (8942 - 4184) / (84*42) = (3738 - 3444) / 3528 = 294 / 3528

2. Next, we have multiplication: 4 1/5 × (294 / 3528)

To multiply whole number and a fraction: 4 1/5 = (4 * 5 + 1) / 5 = 21 / 5

Now, multiply the fraction: (21/5) * (294/3528) = (21 * 294) / (5 * 3528) = 6174 / 17640

3. Finally, we have subtraction: 2 4/8 - (6174 / 17640)

To simplify the whole number and fraction: 2 4/8 = (2 * 8 + 4) / 8 = 20 / 8 = 10 / 4 = 5/2

Now, subtract the fractions: (5/2) - (6174 / 17640)

To subtract fractions, we need to find a common denominator: Common denominator for 2 and 17640 is 17640.

(5/2) = (5 * 8820) / 17640 = 44100 / 17640 (6174 / 17640) = 6174 / 17640

Now, subtract the fractions: (44100 / 17640) - (6174 / 17640) = (44100 - 6174) / 17640 = 37926 / 17640 = 6393 / 2960

So, the final answer is 6393/2960.