Question

2 1/3:(5/8-8/3)-2•1 3/7

Answer 1

2 1/3:(5/8-8/3)-2* 1 3/7=7/3:(-49/24)-20/7=-168/147-20/7=(-168-420)/147=-588/147= -4

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) step by step:

Step 1: Solve inside the parentheses first. (5/8 - 8/3) is equal to (15/24 - 64/24) since we need a common denominator for subtraction. (5/8 - 8/3) = (15/24 - 64/24) = (-49/24).

Step 2: Perform the multiplication. 2 * 1 3/7 = 2 * (10/7) = 20/7.

Step 3: Rewrite the expression with the results from Step 1 and Step 2. 2 1/3 : (-49/24) - (20/7).

Step 4: Convert the whole number to an improper fraction. 2 1/3 = (2 * 3 + 1)/3 = 7/3.

Step 5: Rewrite the expression with the improper fraction from Step 4. 7/3 : (-49/24) - (20/7).

Step 6: Perform the division. To divide fractions, we need to invert the second fraction and then multiply. 7/3 : (-49/24) = 7/3 * (-24/49).

Step 7: Multiply the fractions. (7 * -24) / (3 * 49) = -168 / 147.

Step 8: Simplify the fraction. Both the numerator and denominator can be divided by 21. -168 / 147 = -8 / 7.

Step 9: Rewrite the expression with the result from Step 8. -8/7 - (20/7).

Step 10: Perform the subtraction. -8/7 - 20/7 = (-8 - 20) / 7 = -28 / 7.

Step 11: Simplify the fraction. -28 / 7 = -4.

Therefore, the result of the expression is -4.