Question

(7 1/3+2 1/4):1/4-30 5/6

Answer 1

(7 1/3 + 2 1/4) : 1/4 - 30 5/6 = 7 1/2
1) 7 1/3 + 2 1/4 = 7 4/12 + 2 3/12 = 9 7/12
2) 9 7/12 : 1/4 = 115/12 * 4 = 115/3 = 38 1/3
3) 38 1/3 - 30 5/6 = 38 2/6 - 30 5/6 = 37 8/6 - 30 5/6 = 7 3/6 = 7 1/2

Answer 2

To solve this expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), but first we need to simplify the mixed numbers:

7 1/3 = (37 + 1)/3 = 22/3 2 1/4 = (42 + 1)/4 = 9/4

Now, we can rewrite the expression as:

((22/3 + 9/4) ÷ 1/4) - 30 5/6

Next, we need to simplify the addition within the parentheses:

22/3 + 9/4 = (88/12 + 27/12) = 115/12

Now, we can rewrite the expression as:

((115/12) ÷ 1/4) - 30 5/6

To divide by a fraction, we can multiply by its reciprocal:

((115/12) × 4) - 30 5/6

115/3 - 30 5/6

To subtract mixed numbers, we need to borrow from the whole number if necessary:

115/3 - 30 5/6 = 115/3 - (30 + 1/6) = 115/3 - 181/6

We need to find a common denominator to subtract the fractions:

115/3 - 181/6 = (2115)/(23) - 181/6 = 230/6 - 181/6 = 49/6

Therefore, the final answer is:

49/6 or 8 1/6 (in mixed number form)