Question

-30/31*15/124+(-16/21)*(-7/8)

Answer 1

1) -30/31 : 15/124 = -30/31 * 124/15 = -2*4=-8

2) -16/21 * (-7/8) = 2/3

3) -8 + 2/3 = -7 3/3 + 2/3 = -7 1/3

Answer 2

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

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Now, let's solve the expression step by step:

Step 1: Perform multiplication and division from left to right. -30/31 * 15/124 = -450/3844 -16/21 * (-7/8) = 112/168 = 14/21

Step 2: Perform addition and subtraction from left to right. -450/3844 + 14/21

Now, we need to find a common denominator for these two fractions. The common denominator is 3844*21 = 80724.

Step 3: Convert both fractions to have a common denominator of 80724.

-450/3844 = -450*(21/21) / 3844 = -9450/80724 14/21 = 14*(3844/3844) / 21 = 54896/80724

Step 4: Now add the fractions together.

-9450/80724 + 54896/80724 = (54896 - 9450)/80724 = 45446/80724

The simplified result of the expression is 45446/80724. This fraction can be further simplified, if needed.