Question

Решите: 4/127+3/65 и 9/1811-2/3411

Answer 1

$\frac{641}{8255 }$
$\frac{27077}{6177321}$

Answer 2

4/127 + 3/65 = 641/8255

9/1811 - 2/3411 = 27077/6177321

Answer 3

To solve the given expressions, let's perform the arithmetic calculations:

1. 4/127 + 3/65:

To add these fractions, we need to find a common denominator. The common denominator for 127 and 65 is their product, which is 127 * 65 = 8255.

Now, we convert the fractions to have the common denominator:

(4/127) * (65/65) + (3/65) * (127/127) = 260/8255 + 381/8255

Now, add the two fractions:

(260 + 381) / 8255 = 641 / 8255

So, 4/127 + 3/65 = 641/8255.

2. 9/1811 - 2/3411:

As before, we need to find a common denominator, which is the product of 1811 and 3411, i.e., 1811 * 3411 = 6178821.

Now, we convert the fractions to have the common denominator:

(9/1811) * (3411/3411) - (2/3411) * (1811/1811) = 30699/6178821 - 3622/6178821

Now, subtract the two fractions:

(30699 - 3622) / 6178821 = 27077 / 6178821

So, 9/1811 - 2/3411 = 27077/6178821.

Therefore, the solutions are: 4/127 + 3/65 = 641/8255 9/1811 - 2/3411 = 27077/6178821.