Question

4/7*(2 5/8)-(4 3/7)*11/62

Answer 1

На картинке всё объяснено

Answer 2

To calculate the expression 4/7 * (2 5/8) - (4 3/7) * 11/62, you can follow these steps:

1. First, convert the mixed numbers into improper fractions.
2. Perform the multiplications.
3. Perform the subtractions.

Let's break it down:

1. Convert mixed numbers to improper fractions:

   • 2 5/8 = (2 * 8 + 5)/8 = 21/8
   • 4 3/7 = (4 * 7 + 3)/7 = 31/7

2. Perform the multiplications:

   • 4/7 * 21/8 = (4 * 21) / (7 * 8) = 84/56

   • 84/56 simplifies to 3/2 (by dividing both the numerator and denominator by their greatest common divisor, which is 28).

   • 31/7 * 11/62 = (31 * 11) / (7 * 62) = 341/434

3. Perform the subtraction:

   • 3/2 - 341/434

Now, find a common denominator, which is 868:

To make both fractions have a common denominator of 868:

• For 3/2, multiply both the numerator and denominator by 434. (3/2) * (434/434) = (3 * 434) / (2 * 434) = 1302/868
• For 341/434, multiply both the numerator and denominator by 2. (341/434) * (2/2) = (341 * 2) / (434 * 2) = 682/868

Now, you can subtract these fractions:

(1302/868) - (682/868) = (1302 - 682) / 868 = 620/868

Finally, simplify the fraction:

620/868 simplifies to 155/217

So, the result of the expression is 155/217.