Question

6×343 1/3+3×1000 2/3+4/5×625 0.75

Answer 1

Ответ:

2957

Объяснение:

Answer 2

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

1. Evaluate 6 × 343 1/3: To multiply a whole number by a mixed number, convert the mixed number into an improper fraction. 343 1/3 can be written as 343 + 1/3. So, 6 × 343 1/3 = 6 × (343 + 1/3).

To simplify further, we need to find a common denominator for 6 and 3, which is 6. 6 × (343 + 1/3) = 6 × (343/1 + 1/3) = 6 × (1029/3 + 1/3).

Now, combine the fractions: 6 × (1029/3 + 1/3) = 6 × (1029 + 1)/3 = 6 × 1030/3.

Simplify the fraction: 6 × 1030/3 = (6 × 1030) ÷ 3 = 6180 ÷ 3 = 2060.

2. Evaluate 3 × 1000 2/3: Follow a similar process as above. 1000 2/3 can be written as 1000 + 2/3.

Combine the fractions: 3 × (1000 + 2/3) = 3 × (1000/1 + 2/3) = 3 × (3000/3 + 2/3).

Now, combine the fractions: 3 × (3000/3 + 2/3) = 3 × (3000 + 2)/3 = 3 × 3002/3.

Simplify the fraction: 3 × 3002/3 = (3 × 3002) ÷ 3 = 9006 ÷ 3 = 3002.

3. Evaluate 4/5 × 625 0.75: To multiply a fraction by a decimal, convert the decimal into a fraction. 0.75 can be written as 75/100.

Multiply the fractions: 4/5 × 625/1 × 75/100.

Simplify the fractions: 4/5 × 625/1 × 75/100 = (4 × 625 × 75)/(5 × 1 × 100).

Multiply the numerators and denominators: (4 × 625 × 75)/(5 × 1 × 100) = (1500000/500).

Simplify the fraction: 1500000/500 = 3000.

Now, let's sum up the results: 2060 + 3002 + 3000 = 8062.

Therefore, 6×343 1/3+3×1000 2/3+4/5×625 0.75 equals 8062.