Question

5/7×(21/20-7/30)+16/21:8/7=?

Answer 1

Ответ:

Пошаговое объяснение:

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Answer 2

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

1. Simplify the expression within parentheses: 21/20 - 7/30

To find a common denominator for 20 and 30, we can multiply them together (20 * 30 = 600).

21/20 can be converted to an equivalent fraction with a denominator of 600 by multiplying both the numerator and denominator by 30 (21/20 * 30/30 = 630/600).

7/30 can be converted to an equivalent fraction with a denominator of 600 by multiplying both the numerator and denominator by 20 (7/30 * 20/20 = 140/600).

Now we can subtract the fractions: 630/600 - 140/600 = 490/600

2. Multiply the result by 5/7: 5/7 * (490/600)

Multiply the numerators and denominators: (5 * 490) / (7 * 600) = 2450/4200

3. Simplify the fraction 2450/4200: Divide the numerator and denominator by their greatest common divisor, which is 350: (2450/350) / (4200/350) = 7/12

4. Divide 16/21 by 8/7: (16/21) / (8/7)

Invert the second fraction and multiply: (16/21) * (7/8)

Multiply the numerators and denominators: (16 * 7) / (21 * 8) = 112/168

5. Simplify the fraction 112/168: Divide the numerator and denominator by their greatest common divisor, which is 56: (112/56) / (168/56) = 2/3

So, the final result is: (5/7 * (21/20 - 7/30)) + (16/21 / 8/7) = 7/12 + 2/3 = 11/12