Question

3/4:3+5/12+8/15:2=?​

Answer 1

Ответ:

14/15

Пошаговое объяснение:

3/4:3+5/12+8/15:2= 3/4 * 1/3 + 5/12 + 8/15 * 1/2 = 3/12 + 5/12 + 4/15 =

8/12 + 4/15 = (5*8 + 4*4)/60 = (40+16)/60 = 56/60 = 14/15

Answer 2

To simplify the given expression, let's perform the operations step by step:

First, let's simplify 3/4:3:

To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. The reciprocal of 3 is 1/3.

(3/4) : 3 = (3/4) * (1/3) = (3 * 1) / (4 * 3) = 3/12 = 1/4

Next, let's simplify 5/12:

No further simplification is needed for 5/12.

Finally, let's simplify 8/15:2:

To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. The reciprocal of 2 is 1/2.

(8/15) : 2 = (8/15) * (1/2) = (8 * 1) / (15 * 2) = 8/30 = 4/15

Now, let's add the simplified fractions:

1/4 + 5/12 + 4/15

To add fractions with different denominators, we need to find a common denominator. The common denominator of 4, 12, and 15 is 60.

Converting each fraction to have a denominator of 60:

(1/4) * (15/15) = 15/60 (5/12) * (5/5) = 25/60 (4/15) * (4/4) = 16/60

Now we can add the fractions:

15/60 + 25/60 + 16/60 = (15 + 25 + 16) / 60 = 56/60

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 4:

56/60 = (56/4) / (60/4) = 14/15

Therefore, the simplified value of the expression is 14/15.