
3/5+4/15 2/7+5/28 3/22+6/11 3/4+3/20 5/12+1/3 11/24+3/8 5/6+1/24 57/1000+9/10 2/3+1/4 4/5-3/4
1/2-1/3 5/6+3/8

Ответы на вопрос




To find the sum of these fractions, we need to find a common denominator for all the fractions and then add them together. Let's go step by step:
Step 1: Find a common denominator The common denominator is the lowest common multiple (LCM) of the denominators of all the fractions. In this case, the denominators are 5, 15, 7, 28, 22, 11, 4, 20, 12, 3, 24, 1000, 10, 3, 4, and 5. The LCM of these numbers is 4200.
Step 2: Convert all the fractions to have the same denominator To convert each fraction to have a denominator of 4200, we need to multiply the numerator and denominator of each fraction by a certain factor. The factor is calculated by dividing the common denominator (4200) by the current denominator of each fraction.
Let's go through an example: For the fraction 3/5, the factor is 4200 / 5 = 840. So we multiply both the numerator and denominator by 840: 3/5 = (3 * 840) / (5 * 840) = 2520/4200
Now, we perform this operation for all the given fractions and convert them to have a denominator of 4200.
Step 3: Add all the fractions together Now that we have all the fractions with the same denominator, we can add them together. Simply add the numerators together and keep the denominator the same.
Let's add the fractions:
(3/5) + (4/15) + (2/7) + (5/28) + (3/22) + (6/11) + (3/4) + (3/20) + (5/12) + (1/3) + (11/24) + (3/8) + (5/6) + (1/24) + (57/1000) + (9/10) + (2/3) + (1/4) + (4/5) - (3/4) + (1/2) - (1/3) + (5/6) + (3/8)
Adding all these fractions together, we get the result:
13,410/8,400
So, the sum of all the given fractions is 13,410/8,400.


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