Question

(15;1/3—8:5/18):2 4/7:6 1/21—2 5/8​

Answer 1

(15 1/3 - 8 5/18) * 2 4/7 : 6 1/21 - 2 5/8 = 3/8

1) 15 1/3 - 8 5/18 = 15 6/18 - 8 5/18 = 7 1/18
2) 7 1/18 * 2 4/7 = 127/18 * 18/7 = 127/7
3) 127/7 : 6 1/21 = 127/7 : 127/21 = 127/7 * 21/127 = 21/7 = 3
4) 3 - 2 5/8 = 2 8/8 - 2 5/8 = 3/8

Answer 2

To solve this expression, let's break it down step by step:

(15;1/3—8:5/18):2 4/7:6 1/21—2 5/8

Step 1: Simplify each operation within the parentheses.

Inside the first set of parentheses (15;1/3—8:5/18): 15;1/3 is equivalent to 15 + 1/3, which is 15 and 1/3.

Now, let's subtract 8:5/18: Convert the mixed number 8:5/18 into an improper fraction: (8 * 18 + 5)/18 = 149/18. So, 15 and 1/3 - 149/18 = (45/3 + 1/3) - (149/18) = 46/3 - 149/18.

Now, find a common denominator for 3 and 18, which is 18: (46/3) * (6/6) - (149/18) = (276/18) - (149/18).

Now subtract: (276 - 149)/18 = 127/18.

So, the expression inside the first set of parentheses becomes 127/18.

Now, the expression looks like this:

(127/18):2 4/7:6 1/21—2 5/8

Step 2: Continue simplifying from left to right.

(127/18):2 = (127/18) ÷ 2 = 127/18 ÷ 2/1 = (127/18) * (1/2) = (127/36).

Now, the expression looks like this:

(127/36) 4/7:6 1/21—2 5/8

Step 3: Continue simplifying from left to right.

4/7:6 = 4/7 ÷ 6/1 = (4/7) * (1/6) = 4/42 = 2/21.

Now, the expression looks like this:

(127/36) (2/21) 1/21—2 5/8

Step 4: Continue simplifying from left to right.

1/21—2 = 1/21 - 2 = (1/21) - (42/21) = (1 - 42)/21 = -41/21.

Now, the expression looks like this:

(127/36) (2/21) (-41/21) 5/8

Step 5: Continue simplifying from left to right.

Now, we can multiply the fractions:

(127/36) * (2/21) * (-41/21) * (5/8)

Multiply the numerators and denominators separately:

Numerator: 127 * 2 * (-41) * 5 = -26170 Denominator: 36 * 21 * 21 * 8 = 324288

So, the simplified expression is:

-26170/324288