Question

24/59(1/2+7/12)-8/9*10/21​

Answer 1

$\frac{24}{59} \times ( \frac{1}{2} + \frac{7}{12} ) - \frac{8}{9} \times \frac{10}{21}$

решаем по действиям :

$1) \frac{1}{2} + \frac{7}{12} = \frac{6}{12} + \frac{7}{12} = \frac{13}{12} = 1 \frac{1}{12}$

$2) \frac{8}{9} \times \frac{10}{21} = \frac{80}{189}$

$3) \frac{24}{59} \times 1 \frac{1}{12} = \frac{24}{59} \times \frac{13}{12} = \frac{312}{708} = \frac{26}{59}$

$4) \frac{26}{59} - \frac{80}{189} = \frac{4914}{11151} - \frac{4720}{11151} = \frac{194}{11151}$

Ответ :

$\frac{194}{11151}$

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication/Division, Addition/Subtraction).

1. First, solve the expression inside the parentheses: (1/2 + 7/12) = (6/12 + 7/12) = 13/12

2. Next, perform the division: 24/59 * 13/12 = (24 * 13) / (59 * 12) = 312 / 708

3. Now, move on to the multiplication: 8/9 * 10/21 = (8 * 10) / (9 * 21) = 80 / 189

Finally, subtract the two results: 312 / 708 - 80 / 189

To simplify this further, find a common denominator for the fractions. The least common multiple of 708 and 189 is 12,276. Convert each fraction to have a denominator of 12,276:

312/708 = (312 * 12,276) / (708 * 12,276) = 3,829,312 / 8,733,168 80/189 = (80 * 12,276) / (189 * 12,276) = 978,240 / 2,313,444

Now, the expression becomes: 3,829,312 / 8,733,168 - 978,240 / 2,313,444

To subtract the fractions, they must have the same denominator: (3,829,312 * 2,313,444) / (8,733,168 * 2,313,444) - (978,240 * 8,733,168) / (2,313,444 * 8,733,168)

Now, calculate the numerator of the result: (3,829,312 * 2,313,444) - (978,240 * 8,733,168) = 8,851,044,981,248 - 8,529,767,219,840 = 321,277,761,408

The denominator remains the same: 8,733,168 * 2,313,444 = 20,199,991,439,392

So, the final result is: 321,277,761,408 / 20,199,991,439,392

This fraction can be further simplified if needed, but it is already quite a large number.