Question

10-3 3/4•(2 1/3+1 2/5):1 5/9

Answer 1

Відповідь:      1 /

Покрокове пояснення:

     10-3 3/4•(2 1/3+1 2/5):1 5/9 = 1 .

   1) 2 1/3+1 2/5 = 2 5/15 + 1 6/15 = 3 11/15 ;

  2) 3 3/4 • 3 11/15 = 15/4 • 56/15 = 14 ;

  3) 14 : 1 5/9 = 14/1 : 14/9 = 14/1 • 9/14 = 9 ;

  4) 10 - 9 = 1 .                                                                        

Answer 2

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

1. Start with the addition within the parentheses: 2 1/3 + 1 2/5

To add these mixed numbers, find a common denominator, which in this case is 15:

2 1/3 = 2 * 3/3 + 1/3 = 6/3 + 1/3 = 7/3 1 2/5 = 1 * 5/5 + 2/5 = 5/5 + 2/5 = 7/5

Now, add them together:

7/3 + 7/5

To add these fractions, find a common denominator, which is 15:

(7/3) * (5/5) + (7/5) * (3/3) = 35/15 + 21/15

Now, add the fractions:

35/15 + 21/15 = 56/15

So, 2 1/3 + 1 2/5 = 56/15

2. Now, we'll multiply the result from step 1 by 3/4:

(56/15) * (3/4)

To multiply fractions, simply multiply the numerators together and the denominators together:

(56 * 3) / (15 * 4) = 168/60

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

(168 ÷ 12) / (60 ÷ 12) = 14/5

3. Now, we have the expression 10 - 14/5:

To subtract mixed numbers, find a common denominator:

10 = 10 * 5/5 = 50/5

Now, subtract:

(50/5) - (14/5) = (50 - 14) / 5 = 36/5

4. Finally, divide the result from step 3 by 1 5/9:

To divide by a mixed number, convert it to an improper fraction:

1 5/9 = (9 * 1 + 5) / 9 = 14/9

Now, divide:

(36/5) ÷ (14/9)

To divide fractions, multiply by the reciprocal of the divisor:

(36/5) * (9/14)

Now, multiply:

(36 * 9) / (5 * 14) = 324/70

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(324 ÷ 2) / (70 ÷ 2) = 162/35

So, the final result is 162/35.