Question

(2 3/8-1 5/6)÷(-5/8)​

Answer 1

$( 2\frac{3}{8} - 1 \frac{5}{6} ) \div ( - \frac{5}{8} ) = ( \frac{19}{8} - \frac{11}{6} ) \div ( - \frac{5}{8} ) = \frac{13}{24} \div ( - \frac{5}{8} ) = - \frac{13}{24} \times \frac{8}{5} = - \frac{13}{3} \times \frac{1}{5} = - \frac{13}{15}$

Answer 2

To simplify the expression (2 3/8 - 1 5/6) ÷ (-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

Step 2: Subtract the fractions.

(19/8 - 11/6)

To subtract fractions, you need a common denominator. The least common denominator for 8 and 6 is 24. So, you'll convert both fractions to have a denominator of 24:

(19/8 * 3/3 - 11/6 * 4/4) (57/24 - 44/24)

Step 3: Subtract the fractions with the common denominator.

(57/24 - 44/24) = 13/24

Step 4: Divide the result by -5/8.

(13/24) ÷ (-5/8)

To divide fractions, you can multiply by the reciprocal of the second fraction (flip the fraction and change division to multiplication):

(13/24) * (-8/5)

Now, multiply the numerators and denominators:

(13 * -8) / (24 * 5)

-104 / 120

To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it:

GCD of 104 and 120 is 8.

(-104/8) / (120/8)

-13/15

So, the final result is -13/15.