Question

(5 3/8-4 5/6):(-1 5/8)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression (5 3/8 - 4 5/6) / (-1 5/8), follow these steps:

Step 1: Convert mixed numbers to improper fractions. 5 3/8 = (5 * 8 + 3) / 8 = 43/8 4 5/6 = (4 * 6 + 5) / 6 = 29/6 -1 5/8 = (-1 * 8 + 5) / 8 = -3/8

Step 2: Subtract the fractions in the numerator. 43/8 - 29/6

Step 3: Find the common denominator (lowest common multiple) of 8 and 6, which is 24.

Step 4: Rewrite the fractions with the common denominator. (43/8)(3/3) = 129/24 (29/6)(4/4) = 116/24

Step 5: Subtract the fractions with the common denominator. (129/24) - (116/24) = (129 - 116) / 24 = 13/24

Step 6: Now, divide the result by (-3/8). (13/24) / (-3/8)

Step 7: To divide fractions, multiply by the reciprocal of the divisor. (13/24) * (-8/3)

Step 8: Multiply the numerators and denominators. (13 * -8) / (24 * 3) = -104 / 72

Step 9: Simplify the fraction if possible. -104 / 72 = -13 / 9

So, the result of the expression (5 3/8 - 4 5/6) / (-1 5/8) is -13/9.