Identify Numbers and Signs: Identify the numbers to be multiplied and their signs. We have (−6)/(2) which is a negative number because the numerator is negative and the denominator is positive. We also have (1)/(5) which is a positive number because both the numerator and the denominator are positive.
Multiply Numerators: Multiply the numerators together. The numerator of the first fraction is −6 and the numerator of the second fraction is 1. Multiplying these together gives us −6×1=−6.
Multiply Denominators: Multiply the denominators together. The denominator of the first fraction is 2 and the denominator of the second fraction is 5. Multiplying these together gives us 2×5=10.
Write Result as Fraction: Write the result as a fraction. The result from Step 2 is the new numerator, and the result from Step 3 is the new denominator. So we have −6 over 10, which is written as (−6)/(10).
Simplify Fraction: Simplify the fraction if possible. We notice that both −6 and 10 are divisible by 2. Dividing the numerator and denominator by 2 gives us (−3)/(5).