Answer:
1 5/6
Step-by-step explanation:
We first convert each mixed number to an improper fraction.
To change -6 7/8, we will ignore the negative at first. Multiply the whole number by the denominator:
6(8) = 48
Add the numerator:
48+7 = 55
Putting the negative back in, we have -55/8.
To change -3 3/4, ignore the negative at first. Multiply the whole number by the denominator:
3(4) = 12
Add the numerator:
12+3 = 15
Putting the negative back in, we have -15/4.
This gives us
-55/8 ÷ -15/4
To divide fractions, flip the second one and multiply:
-55/8 × -4/15
Multiply straight across:
(-55×-4)/(8×15) = 220/120
Simplifying this, we know that both 220 and 120 are divisible by 10; this gives us
22/12
Both 22 and 12 are even, so they are both divisible by 2. This gives us
11/6
6 will go into 11 one time, with 5 remaining; this gives us
1 5/6
