Question

(123/8:21/6-55/21)7/8+32/15​

Answer 1

(123/8:21/6-55/21)7/8+32/15

123/8:21/6=123*6/8*21=123/28

123/28-55/21=123*21-55*28/28*21=149/84

149/84*7/8=149*7/84*8=149/96

149/96+32/15=149*15+32*96/96*15=1769/480

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first E - Exponents (none in this expression) MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

Let's break down the expression step by step:

1. Evaluate inside the parentheses: (123/8:21/6-55/21) = (15.375:3.5-2.619) = 4.393

2. Continue with the division inside the parentheses: (15.375:3.5-2.619) = 4.393

3. Now, evaluate the remaining part of the expression: 4.393 * 7/8 + 32/15

4. Perform the multiplication: 4.393 * 7/8 = 3.85525

5. Now, add the fraction: 3.85525 + 32/15

To add the fraction, we need a common denominator, which is 15:

Convert 3.85525 to a fraction with a denominator of 15: 3.85525 * 15/15 = 57.82875/15

Now, add the fractions: 57.82875/15 + 32/15 = (57.82875 + 32) / 15 = 89.82875 / 15

Since 89.82875 is already a decimal, we can keep it as is.

So, the final result of the expression is approximately: 89.82875 / 15 ≈ 5.988583333333333

Therefore, (123/8:21/6-55/21)7/8+32/15 ≈ 5.9886 (rounded to four decimal places).