Question

8/9-7/12;11/50-3/25+1/20

Answer 1

1)11/36   2) 3\20   надеюсь решила правильно

Answer 2

To solve the expression 8/9 - 7/12 + 11/50 - 3/25 + 1/20, we need to find a common denominator and then combine the fractions. Let's proceed with the calculations step by step:

Step 1: Find the common denominator. The denominators in the given fractions are 9, 12, 50, 25, and 20. To find the common denominator, we need to find the least common multiple (LCM) of these denominators.

LCM(9, 12, 50, 25, 20) = 900

So, the common denominator for all the fractions is 900.

Step 2: Convert each fraction to have a denominator of 900. To convert each fraction to have a denominator of 900, we need to multiply the numerator and denominator of each fraction by the same value that makes the denominator equal to 900.

8/9 = (8 * 100) / (9 * 100) = 800/900 7/12 = (7 * 75) / (12 * 75) = 525/900 11/50 = (11 * 18) / (50 * 18) = 198/900 3/25 = (3 * 36) / (25 * 36) = 108/900 1/20 = (1 * 45) / (20 * 45) = 45/900

Step 3: Combine the fractions. Now that we have all the fractions with a common denominator of 900, we can combine them.

800/900 - 525/900 + 198/900 - 108/900 + 45/900

To combine the fractions, we add or subtract their numerators while keeping the denominator the same.

(800 - 525 + 198 - 108 + 45) / 900

Calculating the numerator:

800 - 525 + 198 - 108 + 45 = 410

So, the expression simplifies to:

410/900

The fraction 410/900 cannot be simplified further.