Question

2 1/3:(5/8-8/3)-2x 1 3/7​

Answer 1

Ответ:

Пошаговое объяснение:

1) 5/8-8/3=-49/24

2) 2 1/3: (-49/24) = 7/3 * (-24/49) = - 8/7

3) 2*13/7=26/7

4) - 8/7-26/7=-34/7=-4 6/7

Answer 2

To simplify the given expression, let's follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction):

Step 1: Simplify the expression inside the parentheses. 5/8 - 8/3

To subtract fractions, we need a common denominator, which is 24 in this case. 5/8 = (5/8)(3/3) = 15/24 8/3 = (8/3)(8/8) = 64/24

Now, the expression inside the parentheses becomes: 15/24 - 64/24 = (15 - 64)/24 = -49/24

Step 2: Replace the expression with the simplified value. 2 1/3 : (-49/24) - 2 * 1 3/7

Step 3: Convert mixed numbers to improper fractions. 2 1/3 = (2 * 3 + 1) / 3 = 7/3 1 3/7 = (1 * 7 + 3) / 7 = 10/7

Now the expression becomes: 7/3 : (-49/24) - 2 * 10/7

Step 4: Perform the division. To divide fractions, we multiply by the reciprocal of the divisor. 7/3 : (-49/24) = 7/3 * (-24/49) = -168/147

Step 5: Replace the expression with the simplified value. -168/147 - 2 * 10/7

Step 6: Simplify the expression further by finding a common denominator. -168/147 = (-168/147) * (7/7) = -1176/1029 10/7 = (10/7) * (147/147) = 1470/1029

Now the expression becomes: -1176/1029 - 1470/1029

Step 7: Combine the fractions with the same denominator. -1176/1029 - 1470/1029 = (-1176 - 1470) / 1029 = -2646 / 1029

Step 8: Reduce the fraction to its simplest form if possible. Both the numerator and the denominator can be divided by 3: -2646 / 1029 = (-2646/3) / (1029/3) = -882 / 343

The final simplified expression is: -882 / 343