
3,5-3 1/2×5 1/5+1 1/2÷(-2,6)


Ответы на вопрос

Ответ:
Пошаговое объяснение:
3 1/2×5 1/5=7\2*26\5=91\5=18.2
1 1\2:(-2.6)=3\2*(-5\13)=-15\26
3.5-18.2=-14.7
-14.7+(-15\26)=-14 7\10-15\26=-14 91\130-75\130=-15 18\65



To solve the expression you provided, let's break it down step by step:
Convert the mixed numbers to improper fractions:
- 3 1/2 = (3 * 2 + 1) / 2 = 7/2
- 5 1/5 = (5 * 5 + 1) / 5 = 26/5
- 1 1/2 = (1 * 2 + 1) / 2 = 3/2
Perform multiplication and division before addition and subtraction:
- 3.5 - 3 1/2 × 5 1/5 + 1 1/2 ÷ (-2.6)
- = 3.5 - (7/2) × (26/5) + (3/2) ÷ (-2.6)
Multiply and divide:
- = 3.5 - (7/2) * (26/5) + (3/2) / (-2.6)
- = 3.5 - (7 * 26) / (2 * 5) + (3/2) / (-2.6)
- = 3.5 - 182/10 + (3/2) / (-2.6)
Simplify the fractions:
- = 3.5 - 91/5 + (3/2) / (-2.6)
Convert the mixed number to an improper fraction:
- (3/2) / (-2.6) = (3 * 2) / (-2.6) = -6/2.6
Substitute the values back into the expression:
- 3.5 - 91/5 - 6/2.6
Find a common denominator for the fractions:
- The least common multiple of 5 and 2.6 is 13.
Convert the fractions to have the common denominator:
- 3.5 = 17.5/5
- 91/5 remains the same
- -6/2.6 = -15/6.5
Substitute the fractions back into the expression with the common denominator:
- 17.5/5 - 91/5 - 15/6.5
Combine the fractions with the same denominator:
- (17.5 - 91)/5 - 15/6.5
- Perform subtraction:
- (-73.5)/5 - 15/6.5
- Simplify the negative fraction:
- (-73.5)/5 = -14.7
- Substitute the simplified fraction back into the expression:
- -14.7 - 15/6.5
- Find a common denominator for the fractions:
- The least common multiple of 5 and 6.5 is 32.5.
- Convert the fractions to have the common denominator:
- -14.7 = -14.7 * (6.5/6.5) = -95.55/6.5
- 15/6.5 remains the same
- Substitute the fractions back into the expression with the common denominator:
- -95.55/6.5 - 15/6.5
- Combine the fractions with the same denominator:
- (-95.55 - 15)/6.5
- Perform subtraction:
- (-110.55)/6.5
- Simplify the negative fraction:
- (-110.55)/6.5 = -17.01
Therefore, the expression 3.5 - 3 1/2 × 5 1/5 + 1 1/2 ÷ (-2.6) is equal to -17.01.


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