Question

( 6 5/8 - 1 /2 ) - ( 5 3/4 - 2 1/6 ) + 9 5/8 - 7 1/3 )

Answer 1

6 5/8 - 1/2 - (5 3/4 - 2 1/6) + 9 5/8 - 7 1/3 =
53/8 - 4/8 - (23/4 -13/6) + 77/8 - 22/3 =
49/8- (69/12 - 26/12) + 231/24 - 176/24 =
49/8 - 43/12 + 55/24 = 147-86+55 / 24 = 116/24 = 4,8

Answer 2

To solve the expression, we can follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

Step 1: Solve the subtraction inside the parentheses first.

(6 5/8 - 1/2) - (5 3/4 - 2 1/6) + 9 5/8 - 7 1/3

Convert the mixed numbers to improper fractions:

(53/8 - 1/2) - (23/4 - 13/6) + 77/8 - 22/3

Find a common denominator for each subtraction:

(53/8 - 4/8) - (23/4 - 26/6) + 77/8 - 59/6

Simplify each subtraction:

(49/8) - (10/6) + 77/8 - 59/6

Step 2: Simplify each subtraction by finding a common denominator.

(49/8) - (10/6) + 77/8 - 59/6

Multiply the numerators by the appropriate factor to get a common denominator of 24:

(294/48) - (40/24) + 231/24 - 236/24

Simplify:

(294/48) - (40/24) + (231 - 236)/24

(294/48) - (40/24) + (-5/24)

Step 3: Combine the fractions with a common denominator:

(294/48) - (40/24) + (-5/24)

Adjust the numerators:

(294/48) - (80/48) - (5/24)

Combine the numerators:

(294 - 80 - 5)/48

209/48

So the result of the expression (6 5/8 - 1/2) - (5 3/4 - 2 1/6) + 9 5/8 - 7 1/3) is 209/48.