-8 3/4 ÷ 2 1/6
A. -4 1/8
B. -4 1/26
C. -3 25/26
D. -3 1/8

-105/26 = -4 1/26= -4.038

Step-by-step explanation:

 105 over 26 equals negative 4 and 1 over 26 approximately negative 4.038

Step by step:

Divide  (negative 8 and 3 over 4 − 8 /3  ) ÷ 2 and 1 over 62  

1/6 = negative 210 over 52−  

210 /52

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

negative 8 and 3 over 4− 8

3 /4

= − (( 8 × 4 ) over 4 /8 × 4 /4 + 3 over 4

3 /4 ) = −( 32 + 3 ) over 4

32 + 3 /4 = negative 35 over 4−  35 /4

Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 62  1 /6

= ( 2 × 6 ) over 6

2 × 6

6  + 1 over 6  1 /6

= ( 12 + 1 ) over 6

12 + 1   = 13 over 6

13 /6

Step 1 of 2: Divide, sub-step c: Divide.

Divide

(negative 35 over 4 −  35 /4 ) ÷ 13 over 6  13 /6 = − 35 over 4 35 /4  ÷ 13 over 6  13 /6 = − 35 over 4 /35  

4  × 6 over 13=  6 /13

= − ( 35 × 6 ) over ( 4 × 13 )

35 × 6

4 × 13

= negative 210 over 52−  210 /52

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Simplify

negative 210 over 52−  210 /52

= negative 105 over 26−  105 /26

= negative 4 and 1 over 26− 4  1 /26

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

negative 210 over 52−  210 /52

= −( 210 ÷ 2 ) over ( 52 ÷ 2 )

210 ÷ 2

52 ÷ 2

= negative 105 over 26−  105 /26

2 is the greatest common divisor of 210 and 52. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

negative 105/26 over 26/105  

= negative 4 and 1 over 26 4 /1  

105 ÷ 26 = 4 remainder 1

-1/2 +2

step-by-step explanation:

answer: 1, 3 and 5 are correct

step-by-step explanation: