Question

4 1/3•5+2,4:(-0,1)+20/21:1 2/3​

Answer 1

4 1/3•5+2,4:(-0,1)+20/21:1 2/3=1 5/21

4 1/3•5=13/3*5/1=65/3

2,4:(-0,1)=-21

20/21:1 2/3==20/21:5/3=(20*3)/21*5=4/7

65/3+(-21)+4/7=21 2/3-21+4/7=2/3+4/7=

=(2*7+4*3)/21=26/21=1 5/21

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

1. First, resolve the multiplication: 4 1/3 • 5 = (4 + 1/3) • 5 = (12/3 + 1/3) • 5 = (13/3) • 5 = 65/3

2. Next, resolve the division: 2.4 ÷ (-0.1) = -2.4 ÷ 0.1 = -24

3. Now, resolve the division on the right side: 20/21 ÷ 1 2/3 = 20/21 ÷ (3/2 + 2/3) = 20/21 ÷ (9/6 + 2/3) = 20/21 ÷ (11/6) To divide by a fraction, we multiply by its reciprocal: = 20/21 • (6/11) = (20 • 6) / (21 • 11) = 120 / 231

Now we can put everything together:

65/3 + (-24) + 120/231

To add these fractions and numbers together, they must have the same denominator. The least common multiple (LCM) of 3 and 231 is 231, so we need to convert the fractions to have a denominator of 231:

(65/3) * (77/77) = 5005/231 (-24) * (231/231) = -24 (120/231) * (1/1) = 120/231

Now, the expression becomes:

5005/231 - 24 + 120/231

To add or subtract fractions, they must have the same denominator. In this case, they already have the same denominator (231):

(5005 - 24 + 120) / 231 = 5101 / 231

Now, check if the fraction can be simplified:

The greatest common divisor (GCD) of 5101 and 231 is 1, so the fraction is already in its simplest form.

The final result is:

5101 / 231 ≈ 22.06