Question

(6 1/4-4 1/8)•4+3 1/3:2 1/2

Answer 1

Ответ:

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

1)6 1/4-4 1/8=2 1/4-1/8=2 2/8-1/8=2 1/8

2)2 1/8·4=17/8·4=17/2=8 1/2

3)3 1/3:2 1/2= 10/3:5/2=10/3·2/5=4/3

4)8 1/2+1 1/3=9 3/6+ 2/6=9 5/6

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

1. Start with the subtraction inside the parentheses: (6 1/4 - 4 1/8)

To subtract mixed numbers, you need to find a common denominator, which in this case is 8. So, convert both fractions to have a denominator of 8:

(6 2/8 - 4 1/8)

Now subtract:

6 - 4 = 2 2/8 - 1/8 = 1/8

So, (6 1/4 - 4 1/8) = 2 1/8

2. Next, perform the multiplication outside the parentheses: (2 1/8) * 4

To multiply a mixed number by a whole number, first convert the mixed number to an improper fraction:

2 1/8 = 17/8

Now multiply:

(17/8) * 4 = (17/8) * (4/1) = (17 * 4) / (8 * 1) = 68/8 = 8 1/2

3. Finally, perform the division and addition: (8 1/2) + (3 1/3) / (2 1/2)

To perform division with mixed numbers, convert them to improper fractions:

3 1/3 = 10/3 2 1/2 = 5/2

Now, perform the division:

(8 1/2) + (10/3) / (5/2)

To divide by a fraction, multiply by its reciprocal:

(8 1/2) + (10/3) * (2/5)

Now, calculate the multiplication:

(8 1/2) + (20/15)

Now, find a common denominator:

(8 1/2) + (20/15) = (8 10/15) + (20/15)

Now, add the whole numbers:

8 + 8 = 16

Finally, add the fractions:

10/15 + 20/15 = 30/15 = 2

So, (8 1/2) + (3 1/3) / (2 1/2) = 16 2/15