Question

(3 4/5 - 2 3/10):1 1/2​

Answer 1

(3*4\5 - 2* 3\10) : 1*1\2 = 16\5

1) 3*4\5 = 12\5

2) 2*3\10= 3\5

3) 12\5 - 3\5 = 8\5

4) 1*1\2 = 1\2

5) 8\5 : 1\2 = 16\5

Answer 2

To simplify the expression, first convert the mixed numbers to improper fractions:

3 4/5 = (5 * 3 + 4) / 5 = 19/5 2 3/10 = (10 * 2 + 3) / 10 = 23/10

Now, the expression becomes:

(19/5 - 23/10) : 1 1/2

Next, find the least common denominator (LCD) for the fractions involved, which is 10 in this case.

Now, rewrite the fractions with the LCD:

(38/10 - 23/10) : 1 1/2

Combine the numerators:

(38 - 23)/10 : 1 1/2

Calculate the numerator:

15/10 : 1 1/2

Now, convert 1 1/2 to an improper fraction:

1 1/2 = (2 * 1 + 1) / 2 = 3/2

The expression becomes:

15/10 : 3/2

Now, invert the denominator of the second fraction (3/2) and change the division to multiplication:

15/10 * 2/3

Simplify the fraction:

(15 * 2)/(10 * 3) = 30/30

Finally, the result is:

30/30 = 1

So, (3 4/5 - 2 3/10) : 1 1/2 = 1.