Question

(6-2 1/10*2 1/7)*4/15

Answer 1

=(6-21/10*15/7)*4/15=(6-9/2)*4/15=3/2*4/15=2/5

Answer 2

To solve the expression (6-2 1/10*2 1/7)*4/15, we'll follow the order of operations, which is parentheses, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

First, let's simplify the multiplication inside the parentheses: 2 1/10 * 2 1/7

To multiply mixed numbers, we convert them to improper fractions: 2 1/10 = (2 * 10 + 1) / 10 = 21/10 2 1/7 = (2 * 7 + 1) / 7 = 15/7

Now we can multiply these fractions: (21/10) * (15/7) = (21 * 15) / (10 * 7) = 315/70 = 9/2

Now we substitute this value back into the expression: (6 - 9/2) * 4/15

To subtract mixed numbers, we convert them to improper fractions: 6 = 6/1 9/2 = (2 * 9 + 1) / 2 = 19/2

Now we can subtract these fractions: (6/1 - 19/2) * 4/15 = (12/2 - 19/2) * 4/15 = (-7/2) * 4/15

To multiply fractions, we multiply the numerators and denominators: (-7/2) * (4/15) = (-7 * 4) / (2 * 15) = -28/30

Finally, we can simplify the resulting fraction: -28/30 = -14/15

Therefore, the value of the expression (6-2 1/10*2 1/7)*4/15 is -14/15.