Question

(2 3/8 - 1 5/6):(-1 5/8)

Answer 1

$2 \frac{3}{8} - 1 \frac{5}{6} = 2 \frac{9}{24} - 1 \frac{20}{24} = 1 \frac{33}{24} \\ - 1 \frac{20}{24} = \frac{13}{24}$
$\frac{13}{24} \div ( - 1 \frac{5}{8} ) = - \frac{13}{24} \times \frac{8}{13} = - \frac{1}{3}$

Вот так решается пример

Answer 2

To calculate the expression (2 3/8 - 1 5/6) / (-1 5/8), follow these steps:

Step 1: Convert mixed numbers to improper fractions: 2 3/8 = (2 * 8 + 3) / 8 = 19 / 8 1 5/6 = (1 * 6 + 5) / 6 = 11 / 6 -1 5/8 = (-1 * 8 + 5) / 8 = -3 / 8

Step 2: Perform the subtraction: (19 / 8 - 11 / 6)

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

Step 4: Convert the fractions to have a denominator of 24: (19/8) * (3/3) = 57/24 (11/6) * (4/4) = 44/24

Step 5: Perform the subtraction: (57/24 - 44/24) = 13/24

Step 6: Perform the division: (13/24) / (-3/8)

Step 7: Invert the divisor and change the division to multiplication: (13/24) * (-8/3)

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

Step 9: Reduce the fraction (if possible): -104 / 72 = -13 / 9

So, the result of the expression (2 3/8 - 1 5/6) / (-1 5/8) is -13/9.