To solve this expression, start by simplifying the division and subtraction within the parentheses:
1,45 ÷ 2 = 0,7252 1/3 - 1/20 = 7/3 - 1/20 = (140/60) - (3/60) = 137/60 = 2 17/60
Now, substitute the simplified values back into the original expression:
7/40 : 2 - 11/12 - 0,1 * 2 17/60.
Now calculate the multiplication:
0.1 2 17/60 = 0.1 2 + 0.1(17/60) = 0.2 + (0.1 17) / 60 = 0.2 + 1.7 / 60 = 0.2 + 1.7 / 60 = 0.2 + 0.028333... = 0.228333...
Substitute the calculated value back into the expression:
7/40 : 2 - 11/12 - 0,228333...
Now, calculate the division:
7/40 divided by 2 = 7/40 * 1/2 = 7/80
Substitute the new values back into the expression:
7/80 - 11/12 - 0,228333...
Now, find a common denominator to combine the fractions:
7/80 = 42/48011/12 = 440/480
Combine the fractions:
42/480 - 440/480 - 0.228333...= (42 - 440) / 480 - 0.228333...= -398 / 480 - 0.228333...= -199 / 240 - 0.228333...
Therefore, the solution to the expression is:
-199/240 - 0.228333...
To solve this expression, start by simplifying the division and subtraction within the parentheses:
1,45 ÷ 2 = 0,725
2 1/3 - 1/20 = 7/3 - 1/20 = (140/60) - (3/60) = 137/60 = 2 17/60
Now, substitute the simplified values back into the original expression:
7/40 : 2 - 11/12 - 0,1 * 2 17/60.
Now calculate the multiplication:
0.1 2 17/60 = 0.1 2 + 0.1(17/60) = 0.2 + (0.1 17) / 60 = 0.2 + 1.7 / 60 = 0.2 + 1.7 / 60 = 0.2 + 0.028333... = 0.228333...
Substitute the calculated value back into the expression:
7/40 : 2 - 11/12 - 0,228333...
Now, calculate the division:
7/40 divided by 2 = 7/40 * 1/2 = 7/80
Substitute the new values back into the expression:
7/80 - 11/12 - 0,228333...
Now, find a common denominator to combine the fractions:
7/80 = 42/480
11/12 = 440/480
Combine the fractions:
42/480 - 440/480 - 0.228333...
= (42 - 440) / 480 - 0.228333...
= -398 / 480 - 0.228333...
= -199 / 240 - 0.228333...
Therefore, the solution to the expression is:
-199/240 - 0.228333...