Question

Найдите значения выражений: (1 3/25 - 4/25):(1-2/5)*(10-9 1/16) ; (1+7/23)*(2- 4/25):(99-98 1/5)

Answer 1

Calculation 1: (1 + 3/25 - 4/25) : (1 - 2/5) * (10 - 9 + 1/16)

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

Step 1: Simplify the numerator of the first fraction: - 1 + 3/25 - 4/25 = 1 + (3 - 4)/25 = 1 - 1/25

Step 2: Simplify the denominator of the first fraction: - 1 - 2/5 = (5 - 2)/5 = 3/5

Step 3: Simplify the second fraction: - 10 - 9 + 1/16 = 1 + 1/16 = 17/16

Step 4: Divide the numerator by the denominator: - (1 - 1/25) / (3/5) = (25 - 1)/25 * (5/3) = 24/25 * 5/3 = 120/75 = 8/5

Step 5: Multiply the result by the second fraction: - 8/5 * 17/16 = (8 * 17) / (5 * 16) = 136/80 = 17/10

The value of the expression (1 + 3/25 - 4/25) : (1 - 2/5) * (10 - 9 + 1/16) is 17/10.