Question

7/15 * 3 + 5/6 : 15 = ( 5 8/9 : 1 17/36 + 1 1/4) * 4 4/5 = (2 1/4 + 4 5/6) * 5/17 - 3/4 : 3/5 =

Answer 1

Ответ:

5 8/9=53/9

1 17/36=53/36

53/9*36/53=1908/477=4

1 1/4=1.25

4+1.25=5.25

4 1/5=4.2

5.25/4.2=1.25

Пошаговое объяснение:

Answer 2

Let's break down the expression step by step:

1. Calculate 7/15 * 3 + 5/6 : 15:

   7/15 * 3 = 7/5 5/6 : 15 = 5/6 * (1/15) = 1/18

   Now, add them together:

   7/5 + 1/18

   To add fractions, you need a common denominator. In this case, the common denominator is 18.

   (7/5) * (18/18) + (1/18) = (126/90) + (5/90) = 131/90

2. Calculate (5 8/9 : 1 17/36 + 1 1/4) * 4 4/5:

   First, calculate the division inside the parentheses:

   5 8/9 : 1 17/36 + 1 1/4

   To divide mixed numbers, convert them to improper fractions:

   53/9 : 53/36 + 5/4

   Now, invert the second fraction and multiply:

   53/9 * 36/53 + 5/4

   The 53s cancel out:

   36/9 + 5/4

   Reduce each fraction:

   4/1 + 5/4

   To add these fractions, you need a common denominator, which is 4:

   (4/1) * (4/4) + (5/4) = 16/4 + 5/4 = 21/4

   Now, multiply by 4 4/5:

   (21/4) * 4 4/5

   To multiply mixed numbers, convert them to improper fractions:

   (21/4) * (24/5)

   Multiply the numerators and denominators:

   (21 * 24) / (4 * 5) = 504/20 = 126/5

3. Calculate (2 1/4 + 4 5/6) * 5/17 - 3/4 : 3/5:

   First, calculate the addition inside the parentheses:

   2 1/4 + 4 5/6

   Convert to improper fractions:

   9/4 + 29/6

   To add these fractions, you need a common denominator, which is 12:

   (9/4) * (3/3) + (29/6) * (2/2) = 27/12 + 58/12 = 85/12

   Now, multiply by 5/17:

   (85/12) * (5/17)

   Multiply the numerators and denominators:

   (85 * 5) / (12 * 17) = 425/204

   Now, divide by 3/4:

   (425/204) : (3/5)

   To divide fractions, multiply by the reciprocal:

   (425/204) * (5/3)

   Multiply the numerators and denominators:

   (425 * 5) / (204 * 3) = 2125/612

   You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 61:

   (2125/61) / (612/61) = 35/12

So, the final result is 35/12.