Question

( 2 3/4 - 5 1/4)•( -2/5)-6•(-7)

Answer 1

1) 2 3/4 - 5 1/4 = -3 1-3/4= - 2 5-3/4= -2 2/4= - 2 1/2
2) - 2 1/2 • (-2/5) = 5•2/2•5=1
3) 6•(-7) = -42
4) 1-(-42) =1+42=43

Answer 2

1)2 3/4 - 5 1/4= - 3 1 - 3/4= - 2 5 - 3 / 4 = - 2 2/4 = - 2 1 / 2 2 ) - 2 1 / 2 • ( - 2 / 5 ) = 5 • 2 / 2 • 5 = 1 3 ) 6 • ( - 7 ) = - 42 4 ) 1 - ( - 42 ) = 1 + 42 = 43

Answer 3

Let's break down the expression step by step:

Step 1: Subtract the two fractions (2 3/4 - 5 1/4): To subtract fractions with different denominators, we need to find a common denominator first. The common denominator for 4 and 4 is 4.

2 3/4 - 5 1/4 = (24 + 3)/4 - (54 + 1)/4 = (8 + 3)/4 - (20 + 1)/4 = 11/4 - 21/4 = (11 - 21)/4 = -10/4 = -5/2

Step 2: Multiply the result from Step 1 by -2/5: To multiply fractions, simply multiply the numerators together and the denominators together.

(-5/2) * (-2/5) = (5/2) * (2/5) = (5 * 2)/(2 * 5) = 10/10 = 1

Step 3: Multiply -6 by -7: Multiplying two negative numbers gives a positive result.

-6 * -7 = 42

Now, let's combine the results from Step 2 and Step 3:

( -2 3/4 - 5 1/4 ) * ( -2/5 ) - 6 * (-7) = ( -5/2 ) * ( -2/5 ) - 42 = 1 - 42 = -41

So, the final result is -41.