Question

9/14*(-2целых 1/3)+(-3целых 3/4):1целую 1/5​

Answer 1

$\frac{9}{14} ( - 2 \frac{1}{3} ) + ( - 3 \frac{3}{4} ) \div 1 \frac{1}{5} = - \frac{3}{2} - \frac{3}{4} = - \frac{9}{4}$

сделай лучшим ответом пожалуйста)

Answer 2

To solve this expression, we'll break it down step by step:

1. Start with the first part of the expression: 9/14 * (-2 целых 1/3).

   • First, convert the mixed number (-2 целых 1/3) into an improper fraction. To do this, multiply the whole number (-2) by the denominator (3) and add the numerator (1). This gives you (-2 * 3 + 1)/3 = (-6 + 1)/3 = -5/3.
   • So, the expression becomes 9/14 * (-5/3).

2. Next, move to the second part of the expression: (-3 целых 3/4) divided by 1 целую 1/5.

   • Again, convert the mixed numbers to improper fractions:
     • (-3 целых 3/4) = (-3 * 4 + 3)/4 = (-12 + 3)/4 = -9/4.
     • 1 целую 1/5 = (1 * 5 + 1)/5 = (5 + 1)/5 = 6/5.
   • So, the expression becomes (-9/4) divided by (6/5).

Now, you have two fractions to deal with:

1. 9/14 * (-5/3)
2. (-9/4) / (6/5)

Let's simplify them:

1. 9/14 * (-5/3) = (9 * -5) / (14 * 3) = -45/42.

2. (-9/4) / (6/5) = (-9/4) * (5/6) = (-9 * 5) / (4 * 6) = -45/24.

Now, both fractions are in their simplest form. To further simplify, you can find the greatest common divisor (GCD) of the numerators and denominators to reduce the fractions:

1. -45/42 = -(45/6) / (42/6) = -15/14.

2. -45/24 = -(45/3) / (24/3) = -15/8.

So, the final simplified expression is -15/14 + (-15/8). To add these fractions, you need a common denominator, which is 56:

-15/14 * (4/4) = -60/56. -15/8 * (7/7) = -105/56.

Now, you can add the fractions:

-60/56 + (-105/56) = -165/56.

The result of the expression is -165/56.