Question

Математика 40 баллов a) (1 18/25-9,12-7,4*(-6 1/3)):5 1/3=

Answer 1

$1) \: \: 1 \frac{18}{25} - 9.12 = \frac{43}{25} - 9 \frac{12}{100} = \frac{43}{25} - 9 \frac{3}{25} = \frac{43}{25} - \frac{228}{25} = - \frac{185}{25} = - \frac{37}{5} \\ 2) \: \: 7.4 \times ( - 6 \frac{1}{3} ) = \frac{74}{10} \times ( - \frac{19}{3} ) = - \frac{37 \times 19}{5 \times 3} = - \frac{703}{15} \\ 3) - \frac{37}{5} - ( - \frac{703}{15} ) = - \frac{37}{5} + \frac{703}{15} = - \frac{111}{15} + \frac{703}{15} = \frac{592}{15} \\ 4) \: \: \frac{592}{15} \div 5 \frac{1}{3} = \frac{592}{15} \div \frac{16}{3} = \frac{592}{15} \times \frac{3}{16} = \frac{37}{5} = 7.4$
Ответ: 7,4.

Answer 2

$\displaystyle \tt \bigg(1\frac{18}{25}-9,12-7,4\cdot \bigg(-6\frac{1}{3}\bigg)\bigg):5\frac{1}{3}=\bigg(1,72-9,12+\frac{74}{10}\cdot\frac{19}{3}\bigg)\cdot\frac{3}{16}=\\\\\\=\bigg(\frac{74}{10}\cdot\frac{19}{3}-\frac{74}{10}\bigg)\cdot\frac{3}{16}=\frac{74}{10}\cdot\frac{3}{16}\cdot \bigg(\frac{19}{3}-1\bigg)=\frac{74}{10}\cdot\frac{3}{16}\cdot\frac{16}{3}=\frac{74}{10}=7,4;$

Answer 3

To solve the given mathematical expression, let's break it down step by step:

Step 1: Perform the operations inside the parentheses first. 1 18/25 - 9.12 - 7.4 * (-6 1/3)

Step 2: Convert the mixed numbers to improper fractions. 1 18/25 = (25 + 18)/25 = 43/25 -6 1/3 = -(3 * 6 + 1)/3 = -19/3

Step 3: Continue with the operations inside the parentheses. 43/25 - 9.12 - 7.4 * (-19/3)

Step 4: Perform multiplication first. 7.4 * (-19/3) = -7.4 * 19/3 = -140.6/3

Step 5: Substitute the result of the multiplication back into the expression. 43/25 - 9.12 - (-140.6/3)

Step 6: Simplify further. 43/25 - 9.12 + 140.6/3

Step 7: Find a common denominator for the fractions. The common denominator for 25 and 3 is 75.

Step 8: Convert 9.12 to a fraction with a denominator of 75. 9.12 = 912/100 = 912/75 (by multiplying the numerator and denominator by 3).

Step 9: Perform the subtraction of fractions. (43/25)75/75 - (912/75) + (140.6/3)(25/25)

Step 10: Calculate the results. (433 - 912 + 140.625) / 75

Step 11: Continue with the operations. (129 - 912 + 3515) / 75

Step 12: Complete the addition and subtraction. (3732 - 912) / 75

Step 13: Calculate the final result. 2820 / 75 = 37.6

So, the final answer is 37.6.