Question

(-1/12+2/5)-(-0,37-0,63)-1 целых 13/15​

Answer 1

19/60-(-1)-1=19/60+1-1=19/60

Answer 2

To solve the given expression, let's break it down step by step:

1. Simplify (-1/12 + 2/5): To add fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 5 is 60.

-1/12 * 5/5 + 2/5 * 12/12 = -5/60 + 24/60 = (24 - 5)/60 = 19/60

So, (-1/12 + 2/5) = 19/60.

2. Simplify (-0.37 - 0.63): Simply subtract the decimal numbers: -0.37 - 0.63 = -1.00.

3. Convert 1 whole and 13/15 to an improper fraction: To do this, multiply the whole number (1) by the denominator of the fraction (15) and add the numerator (13) to get the new numerator. The denominator remains the same.

1 * 15 = 15 15 + 13 = 28

So, 1 whole and 13/15 can be written as the improper fraction 28/15.

4. Combine the results from steps 1, 2, and 3: (19/60) - (-1.00) - (28/15)

To subtract a fraction, we need to find a common denominator. The LCM of 60 and 15 is 60.

(19/60) - (-1.00) - (28/15) = (19/60) + 1 - (28/15) = (19/60) + (60/60) - (112/60)

Now, we can add the fractions with the common denominator:

(19 + 60 - 112)/60 = (-33/60)

Finally, we can simplify the fraction:

-33/60 = -11/20

So, the final result is -11/20.