Question

14 7/15 - 3 3/23 * 23/27 - 1 1/5 * 1/6​

Answer 1

Ответ:

11 3/5

Объяснение:

1). 3 3/23 * 23/27 = 72/23 * 23/27 = 72/27 = 8/3 = 2 2/3

2). 1 1/5 * 1/6 = 6/5 * 1/6 = 1/5

3). 14 7/15 - 2 2/3 - 1/5 = 14 7/15 - 2 10/15 - 3/15 = 13 22/15 - 2 13/15 = 11 9/15 =

= 11 3/5

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Simplify the multiplication and division within the expression. 1 1/5 * 1/6 = (6 + 1) / 5 * 1/6 = 7/5 * 1/6 = 7/30

Step 2: Perform the subtraction and addition within the expression. 14 7/15 - 3 3/23 * 23/27 - 7/30

Step 3: Convert the whole numbers to fractions. 14 7/15 = (14 * 15 + 7) / 15 = 217/15 3 3/23 = (3 * 23 + 3) / 23 = 72/23

Now we have: 217/15 - 72/23 * 23/27 - 7/30

Step 4: Simplify the fractions within the expression. 217/15 - 72/23 * 23/27 - 7/30 = 217/15 - 72/27 - 7/30

Step 5: Find the common denominator for the fractions. The common denominator for 15, 27, and 30 is 810 (15 * 27 * 30).

Step 6: Convert all the fractions to have a denominator of 810. 217/15 = (217 * 54) / (15 * 54) = 11658/810 72/27 = (72 * 30) / (27 * 30) = 2160/810 7/30 = (7 * 27) / (30 * 27) = 189/810

Now we have: 11658/810 - 2160/810 - 189/810

Step 7: Combine the fractions. 11658/810 - 2160/810 - 189/810 = (11658 - 2160 - 189) / 810 = 9471/810

The simplified result of the expression is 9471/810.