Question

4 2/7-(-2 5/14)-3 3/4 СРОЧНО

Answer 1

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Answer 2

To solve the expression 4 2/7 - (-2 5/14) - 3 3/4, we need to perform the following steps:

Step 1: Convert mixed numbers to improper fractions. 4 2/7 can be converted to an improper fraction as (4 * 7 + 2) / 7 = 30/7. -2 5/14 can be converted to an improper fraction as (-2 * 14 + 5) / 14 = -23/14. 3 3/4 can be converted to an improper fraction as (3 * 4 + 3) / 4 = 15/4.

Step 2: Perform the subtraction operation within the parentheses. 30/7 - (-23/14) can be simplified by multiplying the negative sign with the numerator of the fraction inside the parentheses: 30/7 + 23/14 = (30 * 2 + 23) / (7 * 2) = 83/14.

Step 3: Subtract the result from step 2 from the remaining mixed number. 83/14 - 15/4 can be simplified by finding a common denominator, which is 14 * 4 = 56. Adjust the fractions accordingly: (83 * 4) / 56 - (15 * 14) / 56 = 332/56 - 210/56 = (332 - 210) / 56 = 122/56.

Step 4: Simplify the resulting fraction, if possible. The fraction 122/56 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2: (122/2) / (56/2) = 61/28.

Therefore, the simplified value of the expression 4 2/7 - (-2 5/14) - 3 3/4 is 61/28.