Question

(-3,8-3,5) - (7/15 - 2/3) + 5,9 = - (-1,8 - 4.3) + ( 6/35 - 4/7 ) - 5,7 =

Answer 1

(-3,8 - 3,5) - (7/15 - 2/3) + 5,9=5,8
1) -3,8 - 3,5=-0,3
2) 7/15 - 2/3=7/15 - 10/15=-3/15
3) -0,3 - (-3/15)=-3/10 - (-3/15)=-9/30 - (-6/30)=-3/30=-1/10=-0,1
4) -0,1+5,9=5,8
(-1,8 - 4,3) + (6/35 - 4/7) - 5,7=-3,6
1) (-1,8 - 4,3)=2,5
2) 6/35 - 4/7=6/35 - 20/35=-14/35
3) 2,5+(-14/35)=2 5/10+(-14/35)=2 35/70+(-28/70)=2 7/70=2 1/10=2, 1
4) 2,1 - 5,7=-3,6

Answer 2

Let's break down the given expression step by step:

(-3,8 - 3,5) - (7/15 - 2/3) + 5,9

First, let's simplify the subtraction inside the parentheses: (-3,8 - 3,5) = -7,3

Next, let's simplify the subtraction of fractions: (7/15 - 2/3) = (7/15 - 10/15) = -3/15 = -1/5

Now, let's substitute the simplified values back into the original expression: -7,3 - (-1/5) + 5,9

To simplify the subtraction of a negative value, we can rewrite it as addition: -7,3 + (1/5) + 5,9

Next, let's convert the mixed number (-7,3) to a decimal by adding the whole number and the decimal part: -7 + 0,3 + (1/5) + 5,9

Now, let's simplify the addition of the fractions: (1/5) + (3/5) = 4/5

Finally, let's perform the addition of all the terms: -7 + 0,3 + 4/5 + 5,9

To add the fractions, we need a common denominator: 4/5 = 16/20

Now, let's convert the mixed number (5,9) to a decimal: -7 + 0,3 + 16/20 + 5,9 = -7 + 0,3 + 16/20 + 5 + 0,9

Now, let's add the whole numbers and the decimals: -7 + 0,3 + 16/20 + 5 + 0,9 = -6 + 0,3 + 1 + 0,9 = -6 + 1 + 1,2

Finally, let's simplify the addition: -6 + 1 + 1,2 = -4 + 1,2 = -2,8

Therefore, (-3,8 - 3,5) - (7/15 - 2/3) + 5,9 = -2,8

Now, let's move on to the second expression:

• (-1,8 - 4.3) + (6/35 - 4/7) - 5,7

First, let's simplify the subtraction inside the parentheses: -(-1,8 - 4.3) = -(-6,1) = 6,1

Next, let's simplify the subtraction of fractions: (6/35 - 4/7) = (6/35 - 20/35) = -14/35 = -2/5

Now, let's substitute the simplified values back into the original expression: 6,1 + (-2/5) - 5,7

Next, let's convert the mixed number (6,1) to a decimal: 6 + 0,1 + (-2/5) - 5,7

Now, let's simplify the addition of the fractions: (-2/5) = -2/5

Finally, let's perform the addition of all the terms: 6 + 0,1 + (-2/5) - 5,7

To add the fractions, we need a common denominator: (-2/5) = (-2/5)

Now, let's add the whole numbers and the decimals: 6 + 0,1 + (-2/5) - 5,7 = 6 + 0,1 -