Question

-5,25÷(5 1/5-5/7×1,4)-3 19/20

Answer 1

-5.25÷(5.2-5/7×1,4)-3.95

-5.25÷(5.2-1)-3.95=-5.25÷4.2-3.95=-1.25-3.95=-5.2

Answer 2

To solve this expression, let's break it down step by step:

1. Convert mixed numbers to improper fractions:

   • $5 \, \frac{1}{5}$ as an improper fraction is $\frac{26}{5}$
   • $3 \, \frac{19}{20}$ as an improper fraction is $\frac{79}{20}$

2. Multiply the fractions within the expression:

   • $\frac{5}{7} \times 1.4 = \frac{5}{7} \times \frac{14}{10} = \frac{70}{70} = 1$

3. Perform the subtraction:

   • $\frac{26}{5} - 1 = \frac{26 - 5}{5} = \frac{21}{5}$

4. Substitute the values back into the expression and solve: $-5 + \frac{25}{\frac{21}{5} - \frac{79}{20}} - \frac{79}{20}$

5. Simplify the denominators of the fractions within the expression:

   • $\frac{21}{5} - \frac{79}{20} = \frac{84}{20} - \frac{79}{20} = \frac{5}{20} = \frac{1}{4}$

6. Substitute the simplified value back into the expression: $-5 + \frac{25}{\frac{1}{4}} - \frac{79}{20}$

7. Divide 25 by $\frac{1}{4}$:

   • $25 \div \frac{1}{4} = 25 \times \frac{4}{1} = 100$

8. Substitute the value back into the expression: $-5 + 100 - \frac{79}{20}$

9. Convert -5 to fractions with a common denominator:

   • $-5 = -\frac{100}{20}$

10. Substitute the value back into the expression: $-\frac{100}{20} + 100 - \frac{79}{20}$

11. Combine the fractions: $-\frac{100 + 79}{20} + 100 = -\frac{179}{20} + 100$

12. Find a common denominator for addition: $-\frac{179}{20} + \frac{2000}{20} = \frac{1821}{20}$

So, the result of the expression $-5 + \frac{25}{5 \frac{1}{5} - \frac{5}{7} \times 1.4} - 3 \frac{19}{20}$ is $\frac{1821}{20}$.