Question

( 1+ 7/23) ×(2-4/25)​

Answer 1

Ответ:

12/5

Пошаговое объяснение:

( 1 + 7/23) × (2 - 4/25) = 30/23 × 46/25 = 6 × 2/5 = 12/5

Answer 2

To solve the given expression $(1 + \frac{7}{23}) \times (2 - \frac{4}{25})$, follow these steps:

Step 1: Simplify the fractions within the parentheses: $1 + \frac{7}{23} = \frac{23}{23} + \frac{7}{23} = \frac{30}{23}$

$2 - \frac{4}{25} = \frac{50}{25} - \frac{4}{25} = \frac{46}{25}$

Step 2: Multiply the simplified fractions:

$$\frac{30}{23} \times \frac{46}{25} = \frac{30 \times 46}{23 \times 25}$$

Step 3: Simplify the resulting fraction:

$$\frac{30 \times 46}{23 \times 25} = \frac{1380}{575}$$

This fraction can be further simplified by finding the greatest common divisor (GCD) of 1380 and 575, which is 5. Divide both the numerator and denominator by 5:

$$\frac{1380}{575} = \frac{276}{115}$$

So, $(1 + \frac{7}{23}) \times (2 - \frac{4}{25})$ simplifies to $\frac{276}{115}$.