Question

7 - 1 4/5 - (1 1/4 + 1/12) : 3 =

Answer 1

Ответ:

7-1 4\5 * (1 1\4 + 1\12) : 3

1)

1 1\4+1\12=1 3\12+1\12=1 1\3

2)

1 4\5*1 1\3=9\5*4\3=12\5

3)

12\5:3=4\5

4)

7-4\5=6 1\5

Answer 2

Let's solve the expression step by step:

1 1/4 + 1/12 = (4/4 + 1/4) + 1/12 = 5/4 + 1/12 = (15/12 + 1/12) = 16/12 = 4/3

Now, let's substitute the above result back into the expression:

7 - 1 4/5 - (4/3) : 3

To simplify the subtraction of mixed numbers, we need to find a common denominator:

7 = 7/1 1 4/5 = (5/5 + 4/5) = 9/5

So the expression becomes:

7/1 - 9/5 - (4/3) : 3

Next, let's simplify the division:

(4/3) : 3 = (4/3) * (1/3) = 4/9

Now, let's substitute the above result back into the expression:

7/1 - 9/5 - 4/9

To simplify the subtraction of fractions, we need to find a common denominator:

7/1 = 7/1 * 9/9 = 63/9 9/5 = 9/5 * 9/9 = 81/45

So the expression becomes:

63/9 - 81/45 - 4/9

Now, let's find a common denominator to subtract the fractions:

63/9 = 63/9 * 5/5 = 315/45 81/45 = 81/45 * 1/1 = 81/45

So the expression becomes:

315/45 - 81/45 - 4/9

Now, we can subtract the fractions:

315/45 - 81/45 = (315 - 81)/45 = 234/45 = 26/5

Finally, the expression simplifies to:

26/5 - 4/9

To subtract fractions, we need a common denominator:

26/5 = 26/5 * 9/9 = 234/45 4/9 = 4/9 * 5/5 = 20/45

So the expression becomes:

234/45 - 20/45

Subtracting the fractions:

234/45 - 20/45 = (234 - 20)/45 = 214/45

Therefore, the final result of the expression is 214/45.