Question

(2_3/8-1_5/6):(-1_5/8)=

Answer 1

Ответ:

(19/8-11/6):(-13/8)=(57/24-44/24):(-13/8)=13/24:(-13/8)=-13/24*8/13=8/24=1/3

Пошаговое объяснение:

Answer 2

To solve the expression (2_3/8 - 1_5/6) / (-1_5/8), follow these steps:

Step 1: Convert the mixed numbers to improper fractions: 2_3/8 = 19/8 1_5/6 = 11/6 -1_5/8 = -13/8

Step 2: Perform the subtraction inside the parentheses: (19/8 - 11/6) / (-13/8)

Step 3: Find a common denominator for the fractions in the numerator: The least common multiple (LCM) of 8 and 6 is 24.

Step 4: Rewrite the fractions with the common denominator: (19/8 * 3/3 - 11/6 * 4/4) / (-13/8)

Step 5: Perform the multiplications in the numerator: (57/24 - 44/24) / (-13/8)

Step 6: Subtract the fractions in the numerator: (13/24) / (-13/8)

Step 7: Invert and multiply by the reciprocal of the denominator: (13/24) * (-8/13)

Step 8: Simplify the fraction: (13 * -8) / (24 * 13) = -104 / 312

Step 9: Reduce the fraction to simplest form: -104 / 312 = -13 / 39

Therefore, (2_3/8 - 1_5/6) / (-1_5/8) equals -13/39.