Question

170 8/51 - 2 4/9 ÷3 2/3

Answer 1

170 8/51-2 4/9:3 2/3=169 25/51
1)2 4/9:3 2/3=22/9:11/3=22/9*3/11=2/3
2)170 8/51-2/3=8678/51-34/51=8644/51=169 25/51

Answer 2

-22/9:11/3=-22/9*3/11=-2/3;
8678/51-2/3=8678/51-34/51=8644/51=169 25/51.

Answer 3

To solve this expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) in that order.

Let's break it down step by step:

1. Starting with the division first, we have:

   2 4/9 ÷ 3 2/3

   To divide mixed fractions, we first convert them into improper fractions:

   2 4/9 = (2 x 9 + 4)/9 = 22/9

   3 2/3 = (3 x 3 + 2)/3 = 11/3

   Then, we can rewrite the expression as:

   22/9 ÷ 11/3

   To divide fractions, we can multiply the first fraction by the reciprocal of the second:

   22/9 x 3/11 = 66/99 = 2/3

   So, the expression simplifies to:

   2/3

2. Now, we can move on to the subtraction:

   170 8/51 - 2/3

   We can convert the mixed fraction to an improper fraction:

   170 8/51 = (170 x 51 + 8)/51 = 8678/51

   Then, we can subtract 2/3 from it:

   8678/51 - 2/3

   To subtract fractions, we need to find a common denominator. The least common multiple of 51 and 3 is 153. So, we can rewrite both fractions with a denominator of 153:

   (8678 x 3)/(51 x 3) - (2 x 51)/(3 x 51) = 26034/153 - 102/153

   Now that the denominators are the same, we can simply subtract the numerators:

   (26034 - 102)/153 = 25932/153

3. Finally, we can simplify the fraction by finding the greatest common factor of the numerator and denominator:

   25932/153 = (2 x 2 x 3 x 3 x 3 x 151)/(3 x 3 x 17)

   The 3's cancel out, leaving us with:

   4 x 151/17 = 604/17

So, the final answer is 604/17.