Question

Вычислите (1/2*4/5):2+(4 5/8-2 4/8)=

Answer 1

*Полный ответ*
1)1/2×4/5=0.5×0.8=0.4
2)0.4:2=0.2=1/5
3)4 5/8-2 4/8=1 9/8
4)1/5+1 9/8=2 13/40
Это моё решение.

Answer 2

To simplify the expression, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. Calculate the fraction (1/2 * 4/5): (1/2 * 4/5) = (4/10) = (2/5)

2. Divide the result by 2: (2/5) / 2 = (2/5) * (1/2) = (2/10) = (1/5)

3. Now, deal with the expression inside the parentheses: (4 5/8 - 2 4/8)

   To subtract mixed fractions, first, make sure both fractions have the same denominator (8 in this case):

   (4 5/8) - (2 4/8)

   Convert the whole numbers into fractions with the same denominator:

   (4 * 8/8 + 5/8) - (2 * 8/8 + 4/8)

   (32/8 + 5/8) - (16/8 + 4/8)

   Now, subtract the fractions:

   (37/8) - (20/8) = (37 - 20)/8 = 17/8

4. Finally, add the two results together:

   (1/5) + (17/8)

   To add these fractions, first, make sure both fractions have the same denominator (which is 40):

   (1/5) * (8/8) + (17/8) * (5/5)

   (8/40) + (85/40) = (8 + 85)/40 = 93/40

So, the final result is 93/40 or in mixed fraction form, approximately 2 13/40.