Question

1 31/32 *3 1/5 -(8 5/9•6/35+2 2/15 )• 5/12 =

Answer 1

Ответ:

4 4/5

Пошаговое объяснение:

Answer 2

Ответ:      4,8 .

Пошаговое объяснение:

1 31/32 *3 1/5 -(8 5/9•6/35+2 2/15 )• 5/12 = 4,8 .

1)8 5/9 * 6/35 = 77/9 * 6/35 =1 7/15 ;

2) 1 7/15 + 2 2/15 = 3 9/15 = 3 3/5 ;

3) 3 3/5 * 5/12 = 18/5 * 5/12 = 3/2 = 1 1/2 ;

4) 1 31/32 * 3 1/5 = 63/32 * 16/5 = 63/10 = 6 3/10 ;

5) 6 3/10 - 1 1/2 = 5 13/10 - 1 5/10 = 4 8/10 = 4,8 .

Answer 3

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

1. First, let's simplify the fractions within the expression:

   • 31/32 * 3 1/5 = (31/32) * (16/5) = (31 * 16) / (32 * 5) = 496/160

2. Next, simplify the fractions within the parentheses:

   • 8 5/9 * 6/35 = (73/9) * (6/35) = (73 * 6) / (9 * 35) = 438/315
   • 2 2/15 = 32/15

3. Now, multiply 438/315 by 32/15 and simplify the result:

   • (438/315) * (32/15) = (73/63) * (32/15) = (73 * 32) / (63 * 15) = 2336/945

4. Finally, subtract the result from step 3 from the result in step 1 and then multiply by 5/12:

   • (496/160) - (2336/945) = (31/10) - (2336/945)

To subtract the fractions, find a common denominator, which is 945 in this case:

• (31/10) * (945/945) - (2336/945) = (31 * 945) / (10 * 945) - (2336/945)

Now, subtract the fractions:

• (29695/945) - (2336/945)

Now, subtract the numerators:

• (29695 - 2336) / 945 = 27359/945

Finally, multiply this result by 5/12:

• (27359/945) * (5/12) = (27359 * 5) / (945 * 12) = 136795/11340

So, the final result is 136795/11340, which can be simplified further if needed.