
3:7+5:6 11:12-7:8 3:5+7:9 8:9-13:15 Решите, 5 класс(это дроби)


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Давайте#### Adding and Subtracting Fractions
To solve the given expression involving fractions, we'll need to add and subtract the fractions step by step.
Step 1: Add 3/7 and 5/6
To add these fractions, we need to find a common denominator. The least common multiple of 7 and 6 is 42. So, we'll convert both fractions to have a denominator of 42.Converting 3/7 to an equivalent fraction with a denominator of 42: 3/7 * 6/6 = 18/42
Converting 5/6 to an equivalent fraction with a denominator of 42: 5/6 * 7/7 = 35/42
Now, we can add the fractions: 3/7 + 5/6 = 18/42 + 35/42 = 53/42
Step 2: Add 11/12 and 7/9
Similarly, we find a common denominator for 12 and 9, which is 36.Converting 11/12 to an equivalent fraction with a denominator of 36: 11/12 * 3/3 = 33/36
Converting 7/9 to an equivalent fraction with a denominator of 36: 7/9 * 4/4 = 28/36
Now, we can add the fractions: 11/12 + 7/9 = 33/36 + 28/36 = 61/36
Step 3: Subtract 7/8 from 3/5
To subtract these fractions, we'll again find a common denominator. The least common multiple of 8 and 5 is 40.Converting 7/8 to an equivalent fraction with a denominator of 40: 7/8 * 5/5 = 35/40
Converting 3/5 to an equivalent fraction with a denominator of 40: 3/5 * 8/8 = 24/40
Now, we can subtract the fractions: 3/5 - 7/8 = 24/40 - 35/40 = -11/40
Step 4: Add 7/9 and 8/9
Since these fractions already have a common denominator, we can directly add them: 7/9 + 8/9 = 15/9 = 5/3Step 5: Subtract 13/15 from the result of Step 1
Subtracting 13/15 from the result of Step 1 (53/42): 53/42 - 13/15 = (53*15 - 13*42) / (42*15) = (795 - 546) / 630 = 249 / 630 = 83 / 210Final Answer
The result of the given expression 3/7 + 5/6 + 11/12 - 7/8 + 3/5 + 7/9 + 8/9 - 13/15, when simplified, is 83/210.

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