Question

8 1/4:(3 1/2+3 3/4)+1 7/12:6 1\3=?​

Answer 1

Ответ:

4 29/33

Пошаговое объяснение:

8 1/4:(3 1/2+3 3/4)+ 1 7/12:6 1/3=

33/4:(7/2+15/4)+19/12:19/3=

33/4:(14/4+15/4)+19/12:19/3=

33/4:29/4+12/19*19/3=

4/33*29/4+4=

29/33+4=4 29/33

Answer 2

Let's break down the given expression step by step:

1. 8 1/4 : (3 1/2 + 3 3/4) + 1 7/12 : 6 1/3

First, let's simplify the fractions within the parentheses:

• 3 1/2 + 3 3/4 = (7/2) + (15/4) = 14/4 + 15/4 = 29/4

Now, the expression becomes:

• 8 1/4 : (29/4) + 1 7/12 : 6 1/3

Next, let's simplify the mixed numbers to improper fractions:

• 8 1/4 = (4 * 8 + 1) / 4 = 33/4
• 1 7/12 = (12 * 1 + 7) / 12 = 19/12
• 6 1/3 = (3 * 6 + 1) / 3 = 19/3

Now the expression is:

• 33/4 : (29/4) + 19/12 : 19/3

Next, perform the division and addition:

• 33/4 : (29/4) = (33/4) / (29/4) = 33/29
• 19/12 : 19/3 = (19/12) / (19/3) = 1/4

Now the expression is simplified to:

• 33/29 + 1/4

To add these fractions, find a common denominator, which is the least common multiple (LCM) of 29 and 4, which is 116. Then convert the fractions to have the common denominator:

• 33/29 = (33 * 4) / (29 * 4) = 132/116
• 1/4 = (1 * 29) / (4 * 29) = 29/116

Now add the fractions:

• (132/116) + (29/116) = (132 + 29) / 116 = 161/116

Finally, simplify the fraction if possible:

• 161/116 = 1 + 45/116

So, the final result of the expression is: 1 45/116