Question

5целых9/14-2целых3/7+6

Answer 1

5
$5 \ \frac{9}{14} - 2 \frac{3}{7} + 6 = 9 \frac{3}{14}$

Answer 2

To calculate the expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the arithmetic operations (addition and subtraction). Step 3: If possible, simplify the resulting fraction.

Let's proceed with the calculation:

Step 1: Convert mixed numbers to improper fractions.

5 целых = 5 9/14

2 целых = 2 3/7

Step 2: Perform the arithmetic operations.

5 + 9/14 - 2 + 3/7 + 6

Step 3: Simplify the expression.

To combine the whole numbers, we get:

(5 - 2) + 6 = 3 + 6 = 9

Now let's deal with the fractions:

(9/14) + (3/7)

To add fractions, we need a common denominator. The least common multiple (LCM) of 14 and 7 is 14.

(9/14) + (3/7) = (9/14) + (6/14) = (9 + 6)/14 = 15/14

Now, add the whole number back to the fraction:

9 + 15/14

To combine the whole number and the fraction, we need to convert 9 to a fraction with a denominator of 14:

9 = (9 * 14) / 14 = 126/14

Now, add the fractions:

(126/14) + (15/14) = (126 + 15) / 14 = 141/14

Step 4: Simplify the resulting fraction, if possible.

The fraction 141/14 can be simplified:

141 ÷ 14 = 10 with a remainder of 1

So, 141/14 = 10 + 1/14

The final result of the expression is:

9 + 141/14 = 10 + 1/14

Therefore, the simplified answer is:

10 1/14