Question

( 7 1/2 * 2 2/3 - 12 1/4 : 7/9 ) : 6 * 3 1/8 + 5 2/7 =

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

1) 7. 1/2 * 2. 2/3 = 15/2 * 8/3 = 5/1 * 4/1 = 20/1 = 20

2) 12. 1/4 : 7/9 = 49/4 : 7/9 = 49/4 * 9/7 = 7/4 * 9/1 = 63/4 = 15. 3/4

3) 20 - 15. 3/4 = 19. 4/4 - 15. 3/4 = 4. 1/4

4) 4. 1/4 : 6 = 17/4 * 1/6 = 17/24

5) 17/24 * 3. 1/8 = 17/24 * 25/8 = 425/192 = 2. 41/192

6) 2. 41/192 + 5. 2/7 =

2. 287/1344 + 5. 384/1344 = 7. 671/1344

Answer 3

To solve this expression, you'll want to follow the order of operations (PEMDAS/BODMAS):

1. First, deal with the multiplication and division from left to right.
2. Then, handle the addition and subtraction from left to right.

Let's break it down step by step:

1. Calculate each part separately:

   a. $7 \frac{1}{2} \times 2 \frac{2}{3} = \left(15/2\right) \times \left(8/3\right) = 60/6 = 10.$

   b. $12 \frac{1}{4} \div \frac{7}{9} = \left(49/4\right) \div \left(7/9\right) = \left(49/4\right) \times \left(9/7\right) = \frac{441}{28} = \frac{63}{4}.$

   c. $6 \times 3 \frac{1}{8} = 6 \times \frac{25}{8} = \frac{150}{8} = \frac{75}{4}.$

   d. $5 \frac{2}{7} = \frac{37}{7}.$

2. Now, we can put it all together using addition and subtraction:

   $\left(10 - \frac{63}{4}\right) \div \left(\frac{75}{4}\right) + \frac{37}{7}.$

3. Perform the subtraction inside the first set of parentheses:

   $10 - \frac{63}{4} = \frac{40}{4} - \frac{63}{4} = \frac{-23}{4}.$

4. Continue with the division:

   $\frac{-23}{4} \div \frac{75}{4} = \frac{-23}{4} \times \frac{4}{75} = \frac{-23}{75}.$

5. Finally, add $\frac{37}{7}$ to the result:

   $\frac{-23}{75} + \frac{37}{7}.$

To add these fractions, you need a common denominator, which is 75:

$\frac{-23}{75} + \frac{37}{7} = \frac{-23}{75} + \frac{75}{75} \times \frac{37}{7} = \frac{-23}{75} + \frac{555}{75}.$

Now, you have a common denominator, and you can add the fractions:

$\frac{-23 + 555}{75} = \frac{532}{75}.$

Now, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:

$\frac{532/5}{75/5} = \frac{106}{15}.$

So, the final result is $\frac{106}{15}$.