Question

3/7 : 30 ; ( 3/8 + 5/12 ) * 4 ; ( 5/6 - 2/9 ) : 11

Answer 1

1) 15
2) 5
3)1/18
Вроде так

Answer 2

Let's solve each of these expressions step by step:

1. 3/7 : 30 To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. The reciprocal of 30 is 1/30.

(3/7) : 30 = (3/7) * (1/30)

Now, multiply the fractions:

(3/7) * (1/30) = (3 * 1) / (7 * 30) = 3/210

Now, simplify the fraction:

3/210 = 1/70

So, 3/7 divided by 30 is 1/70.

2. (3/8 + 5/12) * 4 First, add the fractions inside the parentheses:

(3/8 + 5/12) = (9/24 + 10/24)

Now, combine the fractions:

(9/24 + 10/24) = (9 + 10) / 24 = 19/24

Now, multiply the result by 4:

(19/24) * 4 = (19 * 4) / 24 = 76/24

Simplify the fraction:

76/24 = 19/6

So, (3/8 + 5/12) * 4 is equal to 19/6.

3. (5/6 - 2/9) : 11 First, subtract the fractions inside the parentheses:

(5/6 - 2/9) = (15/18 - 4/18)

Now, combine the fractions:

(15/18 - 4/18) = (15 - 4) / 18 = 11/18

Now, divide the result by 11:

(11/18) : 11 = (11/18) * (1/11)

Now, multiply the fractions:

(11/18) * (1/11) = (11 * 1) / (18 * 11) = 11/198

So, (5/6 - 2/9) divided by 11 is 11/198.