Question

2 11/12 :5 5/6+18/35:3/7​

Answer 1

Ответ:

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Answer 2

To evaluate the expression 2 11/12 : 5 5/6 + 18/35 : 3/7, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's convert the mixed numbers into improper fractions:

2 11/12 = (2 * 12 + 11) / 12 = 35/12 5 5/6 = (5 * 6 + 5) / 6 = 35/6

Now, the expression becomes:

35/12 : 35/6 + 18/35 : 3/7

Next, let's simplify each part separately:

1. 35/12 : 35/6: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (35/12) * (6/35) = (35 * 6) / (12 * 35) = 210 / 420 Both numerator and denominator can be divided by 70: 210 / 420 = 3 / 6

2. 18/35 : 3/7: Again, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (18/35) * (7/3) = (18 * 7) / (35 * 3) = 126 / 105 Both numerator and denominator can be divided by 21: 126 / 105 = 6 / 5

Now, the expression becomes:

3/6 + 6/5

To add these fractions, we need to find a common denominator, which is 30:

3/6 = (3 * 5) / (6 * 5) = 15 / 30 6/5 = (6 * 6) / (5 * 6) = 36 / 30

Now, the expression becomes:

15/30 + 36/30

Adding the fractions:

(15 + 36) / 30 = 51 / 30

Finally, we can simplify the fraction:

51 / 30 = 17 / 10

So, the result of the expression is 17/10.