Question

4/45:(12/25×4/15)+16/21×1 3/4=​

Answer 1

Ответ:

1) =16/125

2)4/45:16/125=25/36

3)16/21×1 3/4=1 целая 1/3

4) 25/36+1 1/3=2 целых 1/36

Ответ: 2 целых одна тридцать шестая

Answer 2

To solve the expression, let's break it down step by step:

First, simplify the expression within the parentheses: (12/25 × 4/15) = (48/375) = (16/125)

Now, let's substitute the simplified value back into the original expression: 4/45 : (16/125) + 16/21 × 1 3/4

Next, multiply the fractions: 16/21 × 1 3/4 = 16/21 × 7/4 = (16 × 7) / (21 × 4) = 112/84 = 14/10 = 7/5

Now, we can rewrite the expression as: 4/45 : (16/125) + 7/5

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 5 × 125 = 625.

Converting the fractions to have a common denominator: 4/45 : (16/125) + (7/5) × (125/125) = 4/45 : 16/125 + 875/625 = 4/45 : 16/125 + 875/625 = 4/45 : 16/125 + 1400/625

Now, let's perform the division and addition/subtraction: 4/45 ÷ 16/125 = (4/45) × (125/16) = (4 × 125) / (45 × 16) = 500/7200 = 5/72

5/72 + 1400/625 = (5 × 625) / (72 × 625) + 1400/625 = 3125/45000 + 1400/625 = 3125/45000 + 8960/45000 = 12085/45000

Therefore, the final simplified value of the expression is 12085/45000.