Question

How do I simplify this equation: -3/5m(-2/7-1/4)

Answer 1

To simplify the equation -3/5m(-2/7-1/4), first add the fractions inside the parentheses to get -15/28, then multiply this by -3/5m to get 45/(140m), which simplifies to 9/28m.

Step-by-step explanation:

To simplify the equation -3/5m(-2/7-1/4), we first simplify the expression inside the parentheses. We find a common denominator for the two fractions, which is 28, and rewrite them:

• -2/7 = -8/28
• -1/4 = -7/28

Adding these two gives us:

-8/28 - 7/28 = -15/2

Now we multiply this by -3/5m:

-3/5m * (-15/28) = 3/5m * 15/28

Multiplication of fractions involves multiplying the numerators together and denominators together:

(3 * 15)/(5m * 28) = 45/(140m)

We can simplify this further by dividing both the numerator and the denominator by 5:

45/5 = 9

140m/5 = 28m

So our simplified expression is:

9/28m