Question

(3m-6n)/1÷5m-10n/m+n

Answer 1

=3(m-2n)/1*(m+n)/5(m-2n)=3*(m+n)/5

Answer 2

To simplify the expression (3m-6n)/1÷5m-10n/m+n, we need to follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) from left to right:

1. First, we need to simplify the expression in the parentheses (3m-6n)/1). Since 1 divided by anything is itself, we can rewrite this as (3m-6n)/1 = 3m-6n.

2. Next, we need to divide 3m-6n by the fraction (5m-10n)/(m+n). To divide by a fraction, we invert the fraction and multiply, so we get:

(3m-6n) ÷ ((5m-10n)/(m+n)) = (3m-6n) x ((m+n)/(5m-10n))

3. Now, we can simplify by factoring out a 3 from the numerator and a 5n from the denominator:

(3m-6n) x ((m+n)/(5m-10n)) = 3(m-2n) x ((m+n)/(5n(1-2m)))

4. Finally, we can cancel out the (m-2n) and (5n) terms that appear in both the numerator and denominator, leaving us with:

3(m+n)/(1-2m)

Therefore, the simplified expression is 3(m+n)/(1-2m).