Question

51/25 ÷ (8/25+9/20)-64/35*5/4

Answer 1

Пошаговое объяснение:

Надеюсь почерк понятен

Answer 2

Ответ: 4  72/77

Пошаговое объяснение:

51/25:(8/25+9/20)-64/35*5/4;

1) 8/25+9/20=(32+45)/100=77/100;

2)51/25:77/100=51*100/(25*77)=51*4/77=204/77=2 50/ 77;

3) 64/35*5/4=16/7=2 2/7;

4) 2 50/77+ 2 2/7=2  50/77+ 2  22/77=4 72/77

Answer 3

To solve the given expression: 51/25 ÷ (8/25+9/20)-64/35*5/4, we can follow the order of operations (PEMDAS/BODMAS) to simplify it step by step.

Step 1: Simplify the addition inside the parentheses. The expression inside the parentheses is 8/25 + 9/20.

To add these fractions, we need a common denominator. The least common multiple of 25 and 20 is 100.

8/25 = (8/25) * (4/4) = 32/100 9/20 = (9/20) * (5/5) = 45/100

Now, we can add the fractions: 32/100 + 45/100 = 77/100

The expression becomes: 51/25 ÷ (77/100) - 64/35 * 5/4

Step 2: Simplify the division. To divide by a fraction, we can multiply by its reciprocal. 51/25 ÷ (77/100) = (51/25) * (100/77)

Simplifying this multiplication: (51/25) * (100/77) = (51 * 100) / (25 * 77) = 5100/1925 = 204/77

The expression becomes: 204/77 - 64/35 * 5/4

Step 3: Simplify the multiplication. To multiply fractions, multiply the numerators and multiply the denominators. 64/35 * 5/4 = (64 * 5) / (35 * 4) = 320/140 = 8/3

The expression becomes: 204/77 - 8/3

Step 4: Find a common denominator and subtract. To subtract fractions, we need a common denominator. The least common multiple of 77 and 3 is 231.

204/77 = (204/77) * (3/3) = 612/231 8/3 = (8/3) * (77/77) = 616/231

Now, we can subtract the fractions: 612/231 - 616/231 = (612 - 616) / 231 = -4/231

Therefore, the simplified expression is -4/231.