Question

(-9/14-5/21): 2 9/14

Answer 1

Ответ: -1/3

$( - \frac{9}{14} - \frac{5}{21} ) \div 2 \frac{9}{14} = ( \frac{ - 27 - 10}{42} ) \div \frac{37}{14} = ( - \frac{37}{42} ) \times \frac{14}{37} = - \frac{1}{3}$

Answer 2

To simplify the expression (-9/14 - 5/21) ÷ 2 9/14, you can follow these steps:

Step 1: Find a common denominator for the fractions in the numerator of the first expression (-9/14 - 5/21). The common denominator for 14 and 21 is 42.

Step 2: Rewrite the fractions with the common denominator:

(-27/42 - 10/42) ÷ 2 9/14

Step 3: Subtract the fractions in the numerator:

(-27/42 - 10/42) = -37/42

Step 4: Convert the mixed number 2 9/14 into an improper fraction. To do this, multiply the whole number (2) by the denominator of the fraction (14) and add the numerator (9):

2 9/14 = (2 * 14 + 9) / 14 = 37/14

Step 5: Now, you have the expression as a fraction divided by another fraction:

(-37/42) ÷ (37/14)

Step 6: To divide fractions, multiply the first fraction by the reciprocal (inverse) of the second fraction:

(-37/42) * (14/37)

Step 7: Simplify by canceling out common factors between the numerators and denominators:

((-37/42) * (14/37)) = (-1/6) * 2

Step 8: Multiply the fractions:

(-1/6) * 2 = -2/6

Step 9: Simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(-2/6) ÷ 2 = -1/3

So, the simplified result of (-9/14 - 5/21) ÷ 2 9/14 is -1/3.