Question

20 3/10 - (1 2/5 * 6 + 19/16*8)/1:5

Answer 1

Ответ:

1,83

Пошаговое объяснение:

1) 1,2 : 5 =0,24

2)0,24 × 6 =1,44

3) 19:16=1,1875

4) 1,1875 ×8=9,5

5) 1,44+9,5=10,94

6)20,3:10=2,03

7) 1:5=0,2

8) 10,94 : 0,2=54,7

9) 2,03 - 0,2 =1,83

Answer 2

To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Let's break down the expression step by step:

1. Calculate the values inside the parentheses:
   • (1 2/5 * 6 + 19/16 * 8)

First, we convert the mixed numbers to improper fractions:

• 1 2/5 = (5 * 1 + 2) / 5 = 7/5
• 6 = 6/1
• 19/16 * 8 = (19 * 8) / 16 = 152/16

Now, perform the arithmetic inside the parentheses:

• (7/5 * 6 + 152/16) = (42/5 + 152/16)

2. Find a common denominator for the fractions inside the parentheses. The common denominator for 5 and 16 is 80. So, we need to rewrite both fractions with a denominator of 80:

   • (42/5 * 16/16 + 152/16 * 5/5) = (672/80 + 760/80)

3. Add the fractions inside the parentheses:

   • (672/80 + 760/80) = (1432/80)

4. Divide the result by 1:5. To divide by a fraction, you can multiply by its reciprocal (flipped version). The reciprocal of 1:5 is 5:1.

   • (1432/80) ÷ (5/1) = (1432/80) * (1/5)

5. Simplify the fraction:

   • (1432/80) * (1/5) = (1432/400)

6. Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 8:

   • (1432/400) ÷ (8/8) = (179/50)

Now, you have the simplified expression:

20 3/10 - (1 2/5 * 6 + 19/16 * 8)/1:5 = 20 3/10 - (179/50)

To subtract mixed numbers, find a common denominator:

20 3/10 = 200/10 + 3/10 = 203/10

Now subtract:

(203/10) - (179/50)

To subtract fractions with different denominators, find a common denominator, which is 50 in this case:

(203/10) - (179/50) = (203/10) - (35/10)

Now subtract the fractions:

(203/10 - 35/10) = 168/10 = 16.8

So, the result is 16.8.