Question

3/8 x 2,4 + 2/8 x 0,15 (по действиям)

Answer 1

3/8 * 2,4 + 2/8 * 0,15 = 15/16  (или 0,9375),

1) 3/8 * 2,4 = 3/8 * 24/10 = 9/10  (или 0,9),
2) 2/8 * 0,15 = 2/8 * 15/100 = 3/80  (или 0,0375),
3) 9/10 + 3/80 = 72/80 + 3/80 = 75/80 = 15/16
(или  3)  0,9 + 0,0375 = 0,9375)

Answer 2

To perform the calculations, let's follow the order of operations (PEMDAS/BODMAS) and simplify the expression step by step:

First, let's simplify the multiplication of fractions:

3/8 x 2/4 = (3 x 2) / (8 x 4) = 6/32

Next, let's multiply the decimal number with a fraction:

2/8 x 0.15 = 2 x 0.15 / 8 = 0.30 / 8 = 0.0375

Now, let's add the results together:

6/32 + 0.0375 = 6/32 + 0.0375 (both terms have different formats)

To add fractions, we need a common denominator. The least common multiple (LCM) of 32 and 100 is 800, so let's convert the fraction to have a denominator of 800:

6/32 = (6 x 25) / (32 x 25) = 150/800

Now we can add the fractions:

150/800 + 0.0375 = 150/800 + (0.0375 x 800/800) = 150/800 + 30/800 = (150 + 30) / 800 = 180/800

The fraction 180/800 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 20:

180/800 = (180 ÷ 20) / (800 ÷ 20) = 9/40

Therefore, the final result is 9/40.