Question

(4,8-5,76)÷1 1/3 (4,5-5,75)÷1 1/4 (1 2/5-0,84)×1 1/2

Answer 1

(4,8 - 5,76) : 1 1/3 = - 0,72

1) 4,8 - 5,76 = - 0,96 = - 96/100 = - 24/25 (сократили на 4)

2) - 24/25 : 1 1/3 = - 24/25 : 4/3 = - 24/25 · 3/4 = - (6·3)/(25·1) = - 18/25 = - 72/100 = - 0,72 (доп.множ. 4)

- - - - - - - - - - - -

(4,5 - 5,75) : 1 1/4 = - 1

1) 4,5 - 5,75 = - 1,25

2) - 1,25 : 1 1/4 = - 1,25 : 1,25 = - 1

Пояснения: 1 1/4 = 1 25/100 = 1,25 (доп.множ. 25)

- - - - - - - - - - - -

(1 2/5 - 0,84) · 1 1/2 = 0,84

1) 1 2/5 - 0,84 = 1,4 - 0,84 = 0,56

2) 0,56· 1 1/2 = 0,56 · 1,5 = 0,84

Пояснения: 1 2/5 = 1 4/10 = 1,4 (доп.множ.2)

1 1/2 = 1 5/10 = 1,5 (доп.множ. 5)

Answer 2

To simplify the expression, let's perform the calculations step by step:

1. (4.8 - 5.76) ÷ 1 1/3:

Step 1: Subtract 5.76 from 4.8: 4.8 - 5.76 = -0.96 Step 2: Convert 1 1/3 to an improper fraction: 1 1/3 = 4/3 Step 3: Divide -0.96 by 4/3 (which is the same as multiplying by the reciprocal of 4/3, i.e., 3/4):

-0.96 ÷ 4/3 = -0.96 × 3/4 = (-0.96 × 3) / 4 = -2.88 / 4 = -0.72

So, (4.8 - 5.76) ÷ 1 1/3 = -0.72

2. (4.5 - 5.75) ÷ 1 1/4:

Step 1: Subtract 5.75 from 4.5: 4.5 - 5.75 = -1.25 Step 2: Convert 1 1/4 to an improper fraction: 1 1/4 = 5/4 Step 3: Divide -1.25 by 5/4 (which is the same as multiplying by the reciprocal of 5/4, i.e., 4/5):

-1.25 ÷ 5/4 = -1.25 × 4/5 = (-1.25 × 4) / 5 = -5 / 5 = -1

So, (4.5 - 5.75) ÷ 1 1/4 = -1

3. (1 2/5 - 0.84) × 1 1/2:

Step 1: Convert 1 2/5 to an improper fraction: 1 2/5 = 7/5 Step 2: Subtract 0.84 from 7/5:

7/5 - 0.84 = (7 - 5.88) / 5 = 1.12 / 5

Step 3: Convert 1 1/2 to an improper fraction: 1 1/2 = 3/2 Step 4: Multiply 1.12/5 by 3/2:

(1.12 / 5) × (3 / 2) = (1.12 × 3) / (5 × 2) = 3.36 / 10 = 0.336

So, (1 2/5 - 0.84) × 1 1/2 = 0.336

Now, the final expression is:

-0.72 ÷ 1 -1 ÷ 1.25 × 0.336

To simplify further, we can perform the remaining operations:

-0.72 ÷ 1 = -0.72 (anything divided by 1 is itself) -1 ÷ 1.25 = -0.8 (divide 1 by 1.25)

Now, the expression becomes:

-0.72 -0.8 × 0.336

Finally, we perform the remaining multiplication:

-0.8 × 0.336 = -0.2688

So, the result of the entire expression is:

-0.72 - 0.2688 = -0.9888 or approximately -0.99 (rounded to two decimal places).