Question

24/36*(1/2+7/12) -8/9:10/21​

Answer 1

Ответ:

$\frac{24}{36} ( \frac{1}{2} + \frac{7}{12} ) - \frac{8}{9} \div \frac{10}{21} = \\ \frac{24}{36} ( \frac{6}{12} + \frac{7}{12} ) - \frac{8}{9} \times \frac{21}{10} = \\ \frac{24}{36} \times \frac{13}{12} - \frac{8}{9} \times \frac{21}{10} = \\ \frac{2}{36} \times 13 - \frac{4}{3} \times \frac{7}{5} = \\ \frac{1}{18} \times 13 - \frac{28}{15} = \\ \frac{1}{18} \times \frac{13}{1} - \frac{28}{15} = \frac{13}{18 } - \frac{28}{15} = \\ \frac{65}{90} - \frac{168}{90} = - \frac{103}{90} = 1 \frac{13}{90}$

Answer 2

Let's break down the expression step by step:

1. Calculate the expression inside the parentheses first: 1/2 + 7/12 = 6/12 + 7/12 = 13/12

2. Multiply 24 by the result from step 1: 24 * (13/12) = 312/12

3. Divide 312/12 by 36: (312/12) / 36 = (26/1) / (36/1) = 26/36

4. Simplify the fraction 26/36 by dividing both the numerator and denominator by their greatest common divisor, which is 2: (26/2) / (36/2) = 13/18

5. Now, let's move on to the second part of the expression: -8/9 : 10/21 = (-8/9) * (21/10)

6. Multiply the fractions: (-8/9) * (21/10) = (-8 * 21) / (9 * 10) = -168/90

7. Simplify the fraction -168/90 by dividing both the numerator and denominator by their greatest common divisor, which is 6: (-168/6) / (90/6) = -28/15

So, the final result of the expression is:

13/18 - 28/15