Question

(6-2 4/5) *3 1/8-1 3/5 : 1/4​

Answer 1

Ответ:

Пошаговое объяснение:

6-2 4/5=5 5/5-2 4/5=3 1/5

3 1/5*3 1/8=16/5*25/8=10

1 3/5:1/4=8/5*4/1=32/5=6 2/5

10-6 2/5=9 5/5-6 2/5=3 3/5

2 cпособ

6-2 4/5=6-2,8=3,2

3,2*3 1/8=3,2*3,125=10

1 3/5:1/4=1,6:0,25=6,4

10-6,4=3,6

Answer 2

To solve the given expression, follow the order of operations (PEMDAS/BODMAS) to perform the calculations step by step:

1. Simplify the expression inside the parentheses first: (6 - 2 4/5) * 3 1/8 - 1 3/5

   To subtract 2 4/5 from 6, convert 6 to a fraction with the same denominator as 4/5: 6 = 6 * 5/5 = 30/5

   Then, perform the subtraction: (30/5 - 24/5) * 3 1/8 - 1 3/5 (6/5) * 3 1/8 - 1 3/5

2. Next, convert 3 1/8 to an improper fraction: 3 = 3 * 8/8 = 24/8 3 1/8 = 24/8 + 1/8 = 25/8

   Now, the expression becomes: (6/5) * 25/8 - 1 3/5

3. Multiply the fractions: (6/5) * (25/8) = (6 * 25) / (5 * 8) = 150 / 40

4. Reduce the fraction: 150/40 = 15/4

   Now the expression is: 15/4 - 1 3/5

5. Convert 1 3/5 to an improper fraction: 1 = 1 * 5/5 = 5/5 1 3/5 = 5/5 + 3/5 = 8/5

   The expression becomes: 15/4 - 8/5

6. Find a common denominator, which is 20, and rewrite the fractions: 15/4 = (15 * 5) / (4 * 5) = 75/20 8/5 = (8 * 4) / (5 * 4) = 32/20

   The expression becomes: 75/20 - 32/20

7. Perform the subtraction: (75 - 32) / 20 = 43 / 20

Finally, divide the result by 1/4: (43 / 20) ÷ (1 / 4)

To divide by a fraction, invert the divisor (1/4) and multiply: (43 / 20) * (4 / 1) = (43 * 4) / (20 * 1) = 172 / 20

The simplified result is: 172 / 20, which can be further reduced to: 43 / 5

So, (6-2 4/5) * 3 1/8 - 1 3/5 : 1/4 = 43/5.