Question

2 2/5×5/6-3/4×1 2/3 дроби​

Answer 1

Ответ:

$2 \times \frac{2}{5} \times \frac{5}{6} - \frac{3}{4} \times 1 \times \frac{2}{3} = \frac{12}{5} \times \frac{5}{6} - \frac{3}{4} \times \frac{5}{3} = \frac{10}{5} - \frac{5}{4} = \frac{40 - 25}{20} = \frac{15}{20} = \frac{3}{4}$

Answer 2

To solve the expression 2 2/5 × 5/6 - 3/4 × 1 2/3, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions. 2 2/5 can be converted to an improper fraction as follows: 2 2/5 = (5 * 2 + 2)/5 = 12/5

1 2/3 can be converted to an improper fraction as follows: 1 2/3 = (3 * 1 + 2)/3 = 5/3

So, the expression becomes: (12/5) × (5/6) - (3/4) × (5/3)

Step 2: Simplify each multiplication.

For the first multiplication: (12/5) × (5/6) = (12/5) × (5/6) = (12 * 5)/(5 * 6) = 60/30

For the second multiplication: (3/4) × (5/3) = (3 * 5)/(4 * 3) = 15/12

Step 3: Subtract the two results. Now that we have simplified both multiplications, we can subtract them: (60/30) - (15/12)

Step 4: Find a common denominator. To subtract fractions, we need a common denominator. The common denominator for 30 and 12 is 60. So, we'll rewrite both fractions with a denominator of 60:

(60/30) = (60/30) × (2/2) = (120/60) (15/12) = (15/12) × (5/5) = (75/60)

Now, the expression becomes: (120/60) - (75/60)

Step 5: Subtract the fractions. Now that both fractions have the same denominator, we can subtract them: (120/60) - (75/60) = (120 - 75)/60 = 45/60

Step 6: Simplify the fraction. To simplify the fraction, you can find the greatest common divisor (GCD) of 45 and 60, which is 15, and divide both the numerator and denominator by 15:

(45/60) ÷ (15/15) = (3/4)

So, the final result of the expression is 3/4.