Question

4\9 умножить на (7\4 -2\5)

Answer 1

1) 7/4-2/5=27/20
2) 4/9•27/20=3/5
3/5= 0,6
Ответ 0,6

Answer 2

To simplify the expression, follow these steps:

Step 1: Simplify the parentheses first.

(7/4 - 2/5)

To subtract fractions, find a common denominator, which is the least common multiple (LCM) of the denominators (4 and 5 in this case).

LCM(4, 5) = 20

Now, convert both fractions to have a denominator of 20:

(7/4) * (5/5) = 35/20

(2/5) * (4/4) = 8/20

Now, subtract the fractions:

(35/20 - 8/20) = (35 - 8) / 20 = 27/20

Step 2: Now, we have the following expression:

4/9 * (27/20)

Step 3: To multiply fractions, simply multiply their numerators and denominators:

(4 * 27) / (9 * 20) = 108 / 180

Step 4: Simplify the resulting fraction by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it:

GCD(108, 180) = 36

(108 / 36) / (180 / 36) = 3 / 5

So, the final result is 3/5.