Question

5 1/6+(−9 1/4)= . (В ответ запиши смешенное число, дробь сократи!)

Answer 1

+ на - даёт минус. Чтобы отнять числа надо перевести дроби в один знаменатель и получится 5 2/12-9 3/12
Ответ:
-4 1/12

Answer 2

To add the mixed numbers 5 1/6 and -9 1/4, we first need to convert them into improper fractions.

Step 1: Convert mixed numbers to improper fractions. 5 1/6 = (5 * 6 + 1)/6 = 31/6 -9 1/4 = (-9 * 4 + 1)/4 = -35/4

Step 2: Add the fractions. 31/6 + (-35/4)

Step 3: Find a common denominator, which is the least common multiple of 6 and 4, which is 12.

Step 4: Convert the fractions to have a common denominator of 12. 31/6 = (31/6) * (2/2) = 62/12 -35/4 = (-35/4) * (3/3) = -105/12

Step 5: Add the fractions with the common denominator. 62/12 + (-105/12) = (62 - 105)/12 = -43/12

Step 6: Simplify the fraction. -43/12 can be expressed as a mixed number by dividing the numerator by the denominator: -43 ÷ 12 = -3 with a remainder of -7

The result is: -3 7/12