Question

1 3/4 * 4/7+1 3/4 *3/7 -6:(5/6 - 2/3)=???

Answer 1

Ответ:

Пошаговое объяснение:

5/6-2/3=5/6-4/6=1/6

1 3/4 * 4/7+1 3/4 *3/7=1 3/4*(4/7+3/7)=1 3/4*1=1 3/4

6:1/6=6*6=36

1 3/4-36=-34 1/4

Answer 2

To solve the expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the multiplication and division operations. Step 3: Perform the addition and subtraction operations.

Let's go step by step:

Step 1: Convert mixed numbers to improper fractions. 1 3/4 can be written as (4 * 1 + 3) / 4 = 7 / 4 1 3/4 * 4/7 can be written as (7 / 4) * (4 / 7) = 7 / 7 (note that 7/7 equals 1)

1 3/4 * 3/7 can be written as (7 / 4) * (3 / 7) = 21 / 28

6:(5/6 - 2/3) means 6 divided by (5/6 - 2/3). To perform this division, find the common denominator, which is 6:

5/6 can be written as (5 * 1) / 6 = 5 / 6 2/3 can be written as (3 * 2) / 3 = 2 / 3

Now subtract them:

(5 / 6) - (2 / 3) = (5 / 6) - (4 / 6) = 1 / 6

Now divide 6 by (1/6):

6 / (1/6) can be written as 6 * (6 / 1) = 36

Step 2: Perform the multiplication and division operations.

We have already calculated the first two parts:

7/7 + 21/28 - 36

Step 3: Perform the addition and subtraction operations.

To add fractions, they need to have a common denominator. The least common multiple (LCM) of 7 and 28 is 28.

7/7 can be written as (7 * 4) / 28 = 28 / 28 = 1 21/28 remains the same.

Now we have:

1 + 21/28 - 36

To add whole numbers to fractions, convert the whole number to a fraction with a denominator of 1:

1 can be written as 1/1.

Now:

1/1 + 21/28 - 36

Next, find a common denominator for all the fractions, which is 28:

1/1 can be written as (1 * 28) / 28 = 28 / 28 = 1 21/28 remains the same. 36 can be written as (36 * 28) / 28 = 1008 / 28

Now we have:

1 + 21/28 - 1008/28

To subtract fractions, they also need to have a common denominator:

1 + (21 - 1008) / 28

Now calculate the numerator:

21 - 1008 = -987

The final expression is:

1 - 987/28

To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:

1 - (987 / 3) / (28 / 3) = 1 - 329 / 9

So the final result is:

1 - 329/9 or 9/9 - 329/9 = -328/9.