Answer:
So, -5/7 divided by 2/35 equals -25/2 or -12.5 when expressed as a decimal.
Explanation:
To divide fractions, you can follow these steps:
Keep the first fraction as it is: -5/7
Change the division sign to multiplication: -5/7 * (reciprocal of the second fraction)
Find the reciprocal of the second fraction by flipping it, which is 35/2.
So, the expression becomes:
-5/7 * 35/2
Now, you can multiply the fractions:
(-5 * 35) / (7 * 2)
= (-175) / 14
Now, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:
= (-25) / 2
So, -5/7 divided by 2/35 equals -25/2 or -12.5 when expressed as a decimal.