Question

3 3/8×3 1/5×1 5/12-4 1/6×3 1/3​

Answer 1

Відповідь:

Покрокове пояснення:

Answer 2

To solve the expression, we'll perform the calculations step by step. Let's simplify each fraction first:

3 3/8 = (8 * 3) + 3 = 24 + 3 = 27/8 3 1/5 = (5 * 3) + 1 = 15 + 1 = 16/5 1 5/12 = (12 * 1) + 5 = 12 + 5 = 17/12 4 1/6 = (6 * 4) + 1 = 24 + 1 = 25/6 3 1/3 = (3 * 3) + 1 = 9 + 1 = 10/3

Now we can substitute the fractions with their simplified forms:

(27/8) * (16/5) * (17/12) - (25/6) * (10/3)

Next, we'll perform the multiplications and subtractions:

(27/8) * (16/5) * (17/12) - (25/6) * (10/3) = (27 * 16 * 17) / (8 * 5 * 12) - (25 * 10) / (6 * 3) = (7344/480) - (250/18)

To subtract these fractions, we need a common denominator:

(7344/480) - (250/18) = (7344 * 18)/(480 * 18) - (250 * 40)/(18 * 40) = 132432/8640 - 10000/720

Now, we can subtract the fractions:

(132432/8640) - (10000/720) = (132432 - 10000)/8640 = 122432/8640

Finally, we can simplify the fraction:

122432/8640 = 61/432

Therefore, the expression 3 3/8 × 3 1/5 × 1 5/12 - 4 1/6 × 3 1/3 is equal to 61/432.