Question

Вычислите: б) 70-41 4/5, в) 12,245 : 2 1/2, г) 4 6/7 + 6 5/21, д) 4 2/9 : 1 1/18, e) 2/5 * 3,2

Answer 1

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Answer 2

а) 70 - 41 4/5 70 - (41 + 4/5) = 70 - (205/5 + 4/5) = 70 - (209/5) = (350/5) - (209/5) = 141/5

б) 12,245 : 2 1/2 To divide by a mixed number, convert it to an improper fraction and then divide: 12,245 ÷ 2 1/2 = 12,245 ÷ (5/2) = 12,245 * (2/5) = 4,898

в) 4 6/7 + 6 5/21 To add mixed numbers, first find a common denominator: Common denominator = 7 * 21 = 147

Now, rewrite the fractions with the common denominator: (4 * 21/21) + (6 * 7/7) + (6 * 21/21) + (5 * 7/7) = (84/147) + (42/147) + (126/147) + (35/147)

Add the fractions with the common denominator: (84/147) + (42/147) + (126/147) + (35/147) = (84 + 42 + 126 + 35)/147 = 287/147

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (7): (287/7) / (147/7) = 41/21

г) 4 2/9 : 1 1/18 To divide mixed numbers, convert them to improper fractions and then divide: (4 + 2/9) ÷ (1 + 1/18) = (38/9) ÷ (36/18) = (38/9) ÷ (36/18) * (18/18) = (38/9) ÷ (36/9) = (38/9) * (9/36) = 38/36

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (2): (38/2) / (36/2) = 19/18

д) 2/5 * 3.2 To multiply a fraction by a decimal, simply multiply the fraction by the decimal number: (2/5) * 3.2 = (2 * 3.2)/5 = 6.4/5 = 1.28

I hope these calculations are helpful! If you have any more questions or need further assistance, please, let me know.