Question

3 1/4:(7/8-2/3)-2*1 1/4

Answer 1

$3\frac{1}{4}:(\frac{7}{8}-\frac{2}{3})-2*1\frac{1}{4}=\frac{13}{4}:(\frac{21}{24}-\frac{16}{24})-2*\frac{5}{4}=\frac{13}{4}:\frac{5}{24}-\frac{5}{2}=\frac{13}{4}*\frac{24}{5}-\frac{5}{2}=\frac{78}{5}-\frac{5}{2}=\frac{156-25}{10}=\frac{131}{10}=13,1$

Answer 2

To solve the expression 3 1/4 : (7/8 - 2/3) - 2 * 1 1/4, follow the order of operations (PEMDAS/BODMAS):

1. Start by calculating the value within the parentheses: 7/8 - 2/3

To subtract fractions, you need a common denominator, which in this case would be 24. Convert both fractions to have a denominator of 24:

(7/8) * (3/3) = 21/24 (2/3) * (8/8) = 16/24

Now subtract the fractions:

21/24 - 16/24 = 5/24

2. Next, calculate the multiplication: 2 * 1 1/4

First, convert the mixed number to an improper fraction:

2 * (4/4) + 1/4 = 9/4

Now, multiply:

2 * 9/4 = 18/4 = 4.5

3. Finally, put it all together: 3 1/4 : 5/24 - 4.5

Now, convert the whole number to a fraction:

3 + 1/4 = 12/4 + 1/4 = 13/4

Now, perform the division:

(13/4) : (5/24)

To divide fractions, invert the second fraction and multiply:

(13/4) * (24/5) = (13 * 24) / (4 * 5) = 312 / 20 = 15.6

Finally, subtract the result of the division from the previous value:

15.6 - 4.5 = 11.1

So, the result of the expression is approximately 11.1.