Question

1) (6 1/4 - 4 1/8)*4 + 3 1/3 : 2 1/2 2) (2 4/9 + 1 1/6)*1 4/5 - 3 1/9 : 2 1/3

Answer 1

1) 6 1/4  -  4 1/8 = 25/4  -  33/8 = 50/8  -  33/8 =  17/8 = 2 1/82)2 1/8  *  4 = 17/8  *  4 =  17/2 = 8 1/23)3 1/3  :  2 1/2 = 10/3  :  5/2 = 10/3  *  2/5 = 20/15 =  4/3 = 1 1/34)8 1/2  +  1 1/3 = 17/2  +  4/3 = 51/6  +  8/6 =  59/6 = 9 5/6ответ 9 5/6

2)( 2 4/9 + 1 1/6) * 1 4/5 -3 1/9:2 1/3=5 1\6
 2 4\9+1 1\6=2 8\18+1 3\18=3 11\18
 3 11\18*1 4\5=65\18*9\5=13\2=6 1\2
 3 1\9:2 1\3=28\9*3\7=4\3=1 1\3
 6 1\2-1 1\3=6 3\6-1 2\6=5 1\6

Answer 2

Let's solve the given expressions step by step:

1. (6 1/4 - 4 1/8) * 4 + 3 1/3 : 2 1/2

Step 1: Convert mixed numbers to improper fractions 6 1/4 = (6 * 4 + 1) / 4 = 25/4 4 1/8 = (4 * 8 + 1) / 8 = 33/8 3 1/3 = (3 * 3 + 1) / 3 = 10/3 2 1/2 = (2 * 2 + 1) / 2 = 5/2

Step 2: Perform the operations inside the parentheses (25/4 - 33/8) * 4 = (25/4 - 4.125) * 4

Step 3: Find a common denominator and subtract the fractions The common denominator for 4 and 8 is 8. (25/8 - 33/8) * 4 = (-8/8) * 4 = -4

Step 4: Complete the rest of the expression -4 + 3 1/3 : 2 1/2

Step 5: Perform division first 3 1/3 ÷ 2 1/2 = (10/3) ÷ (5/2) To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. (10/3) * (2/5) = 20/15 = 4/3

Step 6: Complete the expression -4 + 4/3

Step 7: Convert the sum to a mixed number (if possible) -4 + 4/3 = -4 + 1 1/3 = -2 2/3

So the result of the expression is -2 2/3.

2. (2 4/9 + 1 1/6) * 1 4/5 - 3 1/9 : 2 1/3

Step 1: Convert mixed numbers to improper fractions 2 4/9 = (2 * 9 + 4) / 9 = 22/9 1 1/6 = (1 * 6 + 1) / 6 = 7/6 1 4/5 = (1 * 5 + 4) / 5 = 9/5 3 1/9 = (3 * 9 + 1) / 9 = 28/9 2 1/3 = (2 * 3 + 1) / 3 = 7/3

Step 2: Perform the operations inside the parentheses (22/9 + 7/6) * 9/5 = ((44 + 21) / 18) * 9/5

Step 3: Add the fractions (65/18) * 9/5

Step 4: Multiply the fractions (65/18) * (9/5) = (65 * 9) / (18 * 5) = 585 / 90

Step 5: Simplify the fraction 585 / 90 = 65/10 = 13/2 = 6 1/2

Step 6: Complete the rest of the expression 6 1/2 - 28/9 : 7/3

Step 7: Perform division 28/9 ÷ 7/3 = (28/9) * (3/7) = 84/63 = 4/3

Step 8: Complete the expression 6 1/2 - 4/3

Step 9: Convert the difference to a mixed number (if possible) 6 1/2 - 4/3 = 6 + 1/2 - 4/3 = 5 1/2 - 4/3

To subtract fractions, find a common denominator. The common denominator for 2 and 3 is 6. 5 1/2 - 4/3 = (5 * 6 + 1) / 6 - 4/3 = (31/6) - 4/3

Step 10: Subtract the fractions (31/6) - 4/3 = (31/6) - (8/6) = 23/6

Step 11: Convert the result to a mixed number 23/6 = 3 5/6

So the result of the expression is 3 5/6.