Question

3 3/14 : ( 1 3/7-5/21•0,9)-0,79

Answer 1

3 3/14 : (1 3/7 - 5/21 * 0,9) -0,79=1 1457/1700
5/21*0,9=5/21*9/10= 3/14
1 3/7 - 3/14 = 1 3/14
3  3/14 : 1 3/14 = 2 11/17
2 11/17-0,79 = 2 11/17 - 79 /100 = 1 1457 /1700

Answer 2

To solve the expression 3 3/14 : (1 3/7 - 5/21 • 0.9) - 0.79, let's break it down step by step:

Step 1: Simplify the expression within the parentheses. 1 3/7 - 5/21 • 0.9

To multiply fractions, you multiply the numerators and denominators separately. So, (5/21 • 0.9) can be calculated as:

5/21 • 9/10 = (5 * 9) / (21 * 10) = 45/210 = 9/42

Now, we can subtract 9/42 from 1 3/7:

1 3/7 - 9/42

To perform subtraction, we need a common denominator. The least common multiple (LCM) of 7 and 42 is 42. Therefore, we'll convert 1 3/7 to an improper fraction with a denominator of 42:

1 3/7 = (7 * 1 + 3) / 7 = 10/7

Now, we can subtract:

10/7 - 9/42

Multiplying the denominators to get a common denominator:

10/7 - 9/42 = (42 * 10/7) - 9/42 = 420/7 - 9/42

Step 2: Simplify the expression further. 420/7 - 9/42

Dividing the numerator and denominator of 420/7 by 7:

(420/7) / 7 = 420/49 = 60/7

Now we have:

60/7 - 9/42

Multiplying the denominators to get a common denominator:

60/7 - 9/42 = (42 * 60/7) - 9/42 = 2520/7 - 9/42

Step 3: Simplify the expression even further. 2520/7 - 9/42

Dividing the numerator and denominator of 2520/7 by 7:

(2520/7) / 7 = 2520/49 = 51.42857142857143

Now we have:

51.42857142857143 - 9/42

To subtract a decimal from a fraction, we need to convert the decimal to a fraction with the same denominator as the fraction. Since 51.42857142857143 is approximately 51.43, we can write it as:

51.43 = 5143/100

Now we have:

5143/100 - 9/42

Multiplying the denominators to get a common denominator:

5143/100 - 9/42 = (100 * 5143/100) - 9/42 = 514300/100 - 9/42

Step 4: Simplify the expression further. 514300/100 - 9/42

Dividing the numerator and denominator of 514300/100 by 100:

(514300/100) / 100 = 5143/10000

Now we have:

5143/10000 - 9/42

Multiplying the denominators to get a common denominator:

5143/10000 - 9/42 = (10000 * 5143/10000) - 9/42 = 51430000/10000 - 9/42

Step 5: Simplify the expression to obtain the final result. 51430000/10000 - 9/42

Dividing the numerator and denominator of 51430000/10000 by 100