Question

6 3/20:(-8 1/5)+2 5/7​

Answer 1

Ответ:

1) 6 3/20 : (-8 1/5) = 123/20 : (-41/5) = 123/20 · (-5/41) = -(3·1)/(4·1) = -3/4

2) -3/4 + 2 5/7 = 2 5/7 - 3/4 = 2 20/28 - 21/28 = 1 48/28 - 21/28 = 1 27/28

Пошаговое объяснение:

Answer 2

To add the mixed numbers 6 3/20 and -8 1/5, you first need to convert them to improper fractions.

For 6 3/20: 6 is the whole number, and 3/20 is the fractional part. To convert the mixed number to an improper fraction, multiply the denominator (20) by the whole number (6) and add the numerator (3). The result becomes the new numerator, while the denominator remains the same. So, 6 3/20 is equivalent to (6 * 20 + 3)/20 = 123/20.

For -8 1/5: -8 is the whole number, and 1/5 is the fractional part. To convert the mixed number to an improper fraction, multiply the denominator (5) by the whole number (-8) and add the numerator (1). The result becomes the new numerator, while the denominator remains the same. So, -8 1/5 is equivalent to (-8 * 5 + 1)/5 = -39/5.

Now, you can add the two fractions:

123/20 + (-39/5)

To add fractions, they need to have a common denominator. The least common multiple (LCM) of 20 and 5 is 20. Multiply the numerator and denominator of each fraction by the necessary factors to obtain a common denominator:

(123/20) * (1/1) + (-39/5) * (4/4) = 123/20 + (-156/20)

Now that the fractions have a common denominator, you can simply add the numerators:

123/20 + (-156/20) = (123 - 156)/20 = -33/20

Therefore, the sum of 6 3/20 and -8 1/5 is -33/20.