Question

3/5 *(4/21+2/7) 3-1/10:2/15

Answer 1

3/5 • (4/21+2/7)3-1/10:2/15
3/5 • 10/21 •3 - 1/10 • 15/2
2/7 • 3 - 1/2 •3/2
6/7-3/4
3/28 = 0,107143

Answer 2

Let's break down the expression step by step:

First, let's simplify the expression within the parentheses: 4/21 + 2/7 = (4 * 1)/(21 * 1) + (2 * 3)/(7 * 3) = 4/21 + 6/21 = (4 + 6)/21 = 10/21.

Now we can substitute this result back into the original expression: 3/5 * (10/21) = (3 * 10)/(5 * 21) = 30/105.

Next, let's simplify the division expression: 3 - 1/10:2/15 = 3 - (1/10 * 15/2) = 3 - (15/20) = 3 - 3/4.

To perform the subtraction, we need a common denominator: 3 = 3/1, so we have: 3/1 - 3/4 = (3 * 4)/(1 * 4) - 3/4 = 12/4 - 3/4 = (12 - 3)/4 = 9/4.

Now we can substitute this result back into the original expression: 30/105 * 9/4 = (30 * 9)/(105 * 4) = 270/420.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 30: 270/420 = (270/30) / (420/30) = 9/14.

Therefore, the simplified value of the expression 3/5 * (4/21 + 2/7) - 3 - 1/10:2/15 is 9/14.