Question

(- 3 5\12 - 2 4\15):( - 6 3\20)

Answer 1

$(-3 \frac{5}{12}-2\frac{4}{15}):(-6\frac{3}{20})=(-\frac{41}{12}-\frac{34}{15}):\frac{-123}{20}=\\\\= \frac{-41\cdot 5-34\cdot 4}{60}\cdot \frac{-20}{123}=\frac{341\cdot 20}{60\cdot 123}= \frac{341}{369}$

Answer 2

To solve the expression, let's convert the mixed numbers into improper fractions and perform the division.

First, we convert the mixed numbers into improper fractions:

• 3 5/12 = (-3 * 12 + 5) / 12 = (-36 + 5) / 12 = -31/12

• 2 4/15 = (-2 * 15 + 4) / 15 = (-30 + 4) / 15 = -26/15

• 6 3/20 = (-6 * 20 + 3) / 20 = (-120 + 3) / 20 = -117/20

Now, we can rewrite the expression as:

(-31/12 - 26/15) / (-117/20)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-31/12 - 26/15) * (20/-117)

Now, let's simplify the expression:

(-31/12 - 26/15) * (20/-117)

To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 12 * 15 = 180.

((-31/12) * (15/15) - (26/15) * (12/12)) * (20/-117)

((-465/180) - (312/180)) * (20/-117)

(-777/180) * (20/-117)

Now, we can multiply the numerators and denominators:

(-777 * 20) / (180 * -117)

-15540 / -21060

Finally, we simplify the fraction:

-15540 / -21060 = 777/1053

Therefore, the result of the expression (-3 5/12 - 2 4/15) / (-6 3/20) is 777/1053.