Question

4,96-3*0,32+(1 3/7 + 2/3) : (25-23 3/7) * 2,1=6 5/4

Answer 1

Пошаговое объяснение:

1) 1 3/7+2/3=1 9/21+14/21=1 23/21= 2 2/21

2) 25-23 3/7=24 7/7-23 3/7=1 4/7

3) 3×0,32=0,96

4) 2 2/21:1 4/7=44/21:11/7=44/21×7/11=4/3=

=1 1/3

5) 1 1/3×2,1=4/3×21/10=14/5=2 4/5=2,8

6) 4,96-0,96=4

7) 4+2,8=6,8

ответ: 6,8

Answer 2

Let's break down the expression step by step:

1. Start with the division inside the parentheses: (1 3/7 + 2/3) : (25 - 23 3/7). To simplify this expression, convert all the mixed numbers into improper fractions: (10/7 + 2/3) : (178/7 - 164/7)

2. Perform the addition and subtraction within the division: [(10/7 * 3/3) + (2/3)] : [(178/7) - (164/7)] (30/21 + 2/3) : (14/7) (30/21 + 14/21) : (14/7) (44/21) : (14/7) (44/21) * (7/14) (44/21) * (1/2) 44/42 Simplifying the fraction: 22/21

3. Now, let's continue with the rest of the expression: 4,96 - 3 * 0,32 + 22/21 * 2.1 = 6 5/4

4. Perform the multiplication and subtraction: 4,96 - 0,96 + 46.2/21 = 6 5/4

5. Convert the decimal numbers into fractions: 4,96 = 496/100 0,96 = 96/100

6. Substitute the fractions and continue simplifying: 496/100 - 96/100 + 46.2/21 = 6 5/4

7. Combine the fractions: (496 - 96)/100 + 46.2/21 = 6 5/4 400/100 + 46.2/21 = 6 5/4 4 + 46.2/21 = 6 5/4

8. Convert the whole number into a fraction: 4 = 4/1

9. Add the fractions: (4/1) + (46.2/21) = 6 5/4

Thus, the expression 4,96 - 3 * 0,32 + (1 3/7 + 2/3) : (25-23 3/7) * 2,1 is equal to 6 5/4.