Find the quotient simplify if possible

- 6/10 divide ( - 5/6 )

1 answer

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, the quotient of -6/10 divided by -5/6 is:
-6/10 ÷ -5/6

To simplify this, we can simplify the fractions first:

-6/10 = -3/5

-5/6 remains the same since it's already in simplified form.

So, the quotient becomes:

(-3/5) ÷ (-5/6)

Now, we multiply the first fraction by the reciprocal of the second fraction:

(-3/5) × (6/-5)

Multiplying the numerators and denominators gives:

(-3 × 6) / (5 × -5)

Simplifying further:

-18 / -25

Because both the numerator and denominator have negative signs, they cancel out, resulting in a positive fraction:

18/25

Therefore, the simplified quotient is 18/25.