Question

20 + (7 1/3 - 6 7/8) : 3/4 -( 5 1/4 - 4 21/40) : 1 9/33

Answer 1

ответ: 20

20 + (7 1/3 - 6 7/8) : 3/4 - (5 1/4 - 4 21/40) : 1 9/20 = 20 + (22/3 - 55/8) : 3/4 - (21/4 - 181/40) : 29/20 = 20 + (176/24 - 165/24) : 3/4 - (210/40 - 181/40) : 29/20 = 20 + 11/24 : 3/4 - 29/40 : 29/20 = 20 + 11/24 * 4/3 - 29/40 * 20/29 = 20 + 11/18 - 1/2 = 20 + 11/18 - 9/18 = 20 + 2/18 = 20 + 1/9 = 20 

я не уверенна, что это правильно

но надеюсь , что хоть как-то Вам помогла

Answer 2

Let's break down the given expression step by step:

1. Calculate the mixed number subtractions:

   • $7 \frac{1}{3} - 6 \frac{7}{8} = \frac{22}{3} - \frac{55}{8}$
   • $5 \frac{1}{4} - 4 \frac{21}{40} = \frac{21}{4} - \frac{161}{40}$

2. Find a common denominator for each subtraction:

   • For the first subtraction, the common denominator of 3 and 8 is 24.
   • For the second subtraction, the common denominator of 4 and 40 is 40.

3. Convert fractions to have the common denominators:

   • $7 \frac{1}{3} - 6 \frac{7}{8} = \frac{22 \cdot 8}{3 \cdot 8} - \frac{55 \cdot 3}{8 \cdot 3} = \frac{176}{24} - \frac{165}{24}$
   • $5 \frac{1}{4} - 4 \frac{21}{40} = \frac{21 \cdot 10}{4 \cdot 10} - \frac{161 \cdot 1}{40 \cdot 1} = \frac{210}{40} - \frac{161}{40}$

4. Continue simplifying:

   • $7 \frac{1}{3} - 6 \frac{7}{8} = \frac{11}{24}$
   • $5 \frac{1}{4} - 4 \frac{21}{40} = \frac{49}{40}$

5. Now, we'll calculate the division and addition:

   • $(\frac{11}{24}) : \frac{3}{4} - (\frac{49}{40}) : \frac{42}{33}$

6. Find a common denominator for the divisions:

   • The common denominator of 24 and 4 is 24.
   • The common denominator of 40 and 33 is 1320.

7. Convert fractions to have the common denominators:

   • $(\frac{11 \cdot 1}{24 \cdot 1}) - (\frac{49 \cdot 33}{40 \cdot 33})$

8. Simplify:

   • $\frac{11}{24} - \frac{1617}{1320}$

9. Find a common denominator for the subtraction:

   • The common denominator of 24 and 1320 is 2640.

10. Convert fractions to have the common denominator:

    • $\frac{11 \cdot 110}{24 \cdot 110} - \frac{1617 \cdot 2}{1320 \cdot 2}$

11. Simplify:

    • $\frac{1210}{2640} - \frac{3234}{2640}$

12. Subtract the fractions:

    • $\frac{1210 - 3234}{2640} = \frac{-2024}{2640}$

13. Simplify the fraction:

    • $\frac{-506}{660}$

So, the final result of the expression is $-\frac{506}{660}$. If you'd like, you can further simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator.