Question

/=дроб. 1). -7/9+(-11/15). 2). -3 11/12+(-4 9/16)

Answer 1

Ответ:

Пошаговое объяснение:

1). -7/9+(-11/15)=-35/45-33/45=-68/45=

-1 23/45

2). -3 11/12+(-4 9/16)=-3 44/48-4 27/48

=-7 71/48=-8 23/48

Answer 2

To calculate the expressions, we need to perform addition and subtraction of fractions and mixed numbers. Let's solve each expression step by step:

1. -7/9 + (-11/15)

Step 1: Find a common denominator for both fractions. The least common multiple (LCM) of 9 and 15 is 45. Step 2: Rewrite both fractions with the common denominator.

(-7/9) = (-7/9) * (5/5) = (-35/45) (-11/15) = (-11/15) * (3/3) = (-33/45)

Step 3: Now add the fractions:

(-35/45) + (-33/45) = -68/45

The result is -68/45.

2. -3 11/12 + (-4 9/16)

Step 1: Convert the mixed numbers to improper fractions.

-3 11/12 = -(312 + 11)/12 = -(35/12) -4 9/16 = -(416 + 9)/16 = -(73/16)

Step 2: Now, we can add the improper fractions:

-(35/12) + -(73/16)

Step 3: Find a common denominator for both fractions. The LCM of 12 and 16 is 48.

Step 4: Rewrite both fractions with the common denominator.

-(35/12) = -(35/12) * (4/4) = -(140/48) -(73/16) = -(73/16) * (3/3) = -(219/48)

Step 5: Now, add the fractions:

-(140/48) + -(219/48) = -(359/48)

The result is -(359/48).

So, the final answers are:

1. -7/9 + (-11/15) = -68/45
2. -3 11/12 + (-4 9/16) = -(359/48)