Question

(6‐1 5/9÷7/15)÷2/3=​

Answer 1

Ответ:4

Пошаговое объяснение:

(6‐1 5/9÷7/15)÷2/3=​4

1)1 5/9:7/15=14/9:7/15=14*15/9*7=2*5/3*1=

=10/3=3 1/3

2)6-3 1/3=5 3/3-3 1/3=2 2/3

3) 2 2/3:2/3=8/3:2/3=8*3/3*2=4

Answer 2

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

Step 1: Simplify the division inside the parentheses: 5/9 ÷ 7/15. To divide fractions, we invert the second fraction and multiply: (5/9) ÷ (7/15) = (5/9) * (15/7) Now we can multiply the numerators and denominators: (5 * 15) / (9 * 7) = 75/63

Step 2: Evaluate the expression inside the parentheses: 6 - 75/63. To subtract fractions, we need a common denominator: 6 = 6/1, so we need to find the equivalent fraction with a denominator of 63: (6/1) * (63/63) = 378/63

Now we can subtract the fractions: 378/63 - 75/63 = (378 - 75) / 63 = 303/63

Step 3: Simplify the division outside the parentheses: (303/63) ÷ (2/3). To divide fractions, we invert the second fraction and multiply: (303/63) ÷ (2/3) = (303/63) * (3/2) Now we can multiply the numerators and denominators: (303 * 3) / (63 * 2) = 909/126

So the final result is 909/126.