Question

33 2/5÷(6 3/4×7 1/6)

Answer 1

Ответ:

Пошаговое объяснение:

167/5: (27/4×43/6)= 167/5: (81/12×86/12)= 167/5: 1161/24 = 167/5×24/1161 = 1336/1935

Answer 2

To solve this expression, we'll first convert the mixed numbers to improper fractions, then perform the operations step by step:

1. Convert the mixed numbers to improper fractions: 33 2/5 = (5 * 33 + 2) / 5 = 167/5 6 3/4 = (4 * 6 + 3) / 4 = 27/4 7 1/6 = (6 * 7 + 1) / 6 = 43/6

Now, your expression becomes: (167/5) ÷ (27/4 × 43/6)

2. To divide fractions, you can multiply by the reciprocal of the second fraction: (167/5) ÷ (27/4 × 43/6) = (167/5) ÷ ((27/4) × (6/43))

3. Multiply the fractions in the denominator: (167/5) ÷ ((27/4) × (6/43)) = (167/5) ÷ ((27/4) * (6/43)) = (167/5) ÷ (27/4) * (6/43)

4. To divide fractions, multiply by the reciprocal of the second fraction (27/4): (167/5) ÷ (27/4) * (6/43) = (167/5) * (4/27) * (6/43)

5. Now, multiply the fractions: (167/5) * (4/27) * (6/43) = (167 * 4 * 6) / (5 * 27 * 43)

6. Calculate the numerator and denominator separately: Numerator = 167 * 4 * 6 = 4008 Denominator = 5 * 27 * 43 = 58215

7. Simplify the fraction if possible. In this case, it cannot be further simplified: 4008/58215

So, the final result is: 4008/58215, which is approximately equal to 0.0688 when rounded to four decimal places.