Question

В) (-2/12-1 7/12)*30/103+2:2 1/4*9/32 Г) (-3 1/2:4 2/3-4 2/3:3 1/2)*(-4 4/5)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve each expression step by step:

В) (-2/12 - 1 7/12) * 30/103 + 2 ÷ 2 1/4 * 9/32

First, let's simplify the fractions and mixed numbers:

-2/12 - 1 7/12 = -1/6 - (1 + 7/12) = -1/6 - (12/12 + 7/12) = -1/6 - 19/12 = -1/6 - 19/12 = (-1/6 - 19/12)

Now, we'll find a common denominator to add these fractions:

-1/6 - 19/12 = (-2/12 - 19/12) = -21/12

Now, let's continue with the expression:

-21/12 * 30/103 + 2 ÷ 2 1/4 * 9/32

Next, we'll simplify the multiplication and division:

(-21/12) * (30/103) + (2 ÷ 2 1/4) * (9/32)

Now, let's simplify the division:

2 ÷ 2 1/4 = 2 ÷ (9/4) = 2 * (4/9) = 8/9

Now, the expression becomes:

(-21/12) * (30/103) + (8/9) * (9/32)

Simplify the fractions:

(-21/12) * (30/103) + (8/9) * (9/32)

Now, multiply the fractions:

((-21 * 30) / (12 * 103)) + ((8 * 9) / (9 * 32))

Calculate the products:

(-630 / 1236) + (72 / 288)

Now, find a common denominator to add these fractions:

(-630 / 1236) + (72 / 288) = (-630 / 1236) + (72 / 288) * (9/9)

Now, the fractions have a common denominator:

(-630 / 1236) + (648 / 2592)

Now, add the fractions:

(-630 / 1236) + (648 / 2592) = (-525 / 1034) + (648 / 2592)

To add these fractions, we need a common denominator, which is 2592:

(-525 * 2) / (1034 * 2) + 648 / 2592 = (-1050 / 2068) + 648 / 2592

Now, add the fractions:

(-1050 / 2068) + 648 / 2592 = (-1050 * 1296 / 2068 * 1296) + (648 * 1034 / 2592 * 1034)

Now, calculate the numerators:

-1360800/2679168 + 668352/2682048

Now, add the fractions:

(-1360800/2679168) + (668352/2682048) = (-1360800 + 668352) / 2679168

Now, calculate the numerator:

(-692448 / 2679168)

This is the simplified result for expression В.

Let's move on to expression Г:

Г) (-3 1/2 ÷ 4 2/3 - 4 2/3 ÷ 3 1/2) * (-4 4/5)

First, simplify the mixed number divisions:

-3 1/2 ÷ 4 2/3 = -7/2 ÷ (14/3) = -7/2 * (3/14) = (-21/28)

4 2/3 ÷ 3 1/2 = (14/3) ÷ (7/2) = (14/3) * (2/7) = (4/3)

Now, the expression becomes:

((-21/28) - (4/3)) * (-4 4/5)

Now, simplify the subtraction:

((-21/28) - (4/3)) = (-21/28) - (16/28) = (-21 - 16) / 28 = (-37/28)

Now, the expression becomes:

(-37/28) * (-4 4/5)

Now, multiply the fractions:

(-37/28) * (-4 4/5) = (-37/28) * (-24/5)

Now, multiply the fractions:

((-37 * -24) / (28 * 5))

Calculate the products:

(888 / 140)

Now, simplify the fraction:

(444/70)

Reduce the fraction to its simplest form:

(222/35)

This is the simplified result for expression Г.